diff --git a/java/AndroidManifest.xml.in b/java/AndroidManifest.xml.in
index ceec7a97b98..77abdf0e180 100644
--- a/java/AndroidManifest.xml.in
+++ b/java/AndroidManifest.xml.in
@@ -207,7 +207,7 @@ along with GNU Emacs.  If not, see <https://www.gnu.org/licenses/>. -->
   <uses-permission android:name="android.permission.FOREGROUND_SERVICE_SPECIAL_USE"/>
 
   <uses-sdk android:minSdkVersion="@ANDROID_MIN_SDK@"
-	    android:targetSdkVersion="35"/>
+	    android:targetSdkVersion="36"/>
 
   <application android:name="org.gnu.emacs.EmacsApplication"
 	       android:label="Emacs"
diff --git a/java/INSTALL b/java/INSTALL
index 6fbf7ba5d6c..1c6195c6d08 100644
--- a/java/INSTALL
+++ b/java/INSTALL
@@ -39,7 +39,7 @@ script like so:
 Replacing the paths in the command line above with:
 
   - the path to the `android.jar' headers which come with the Android
-    SDK.  They must correspond to Android version 15 (API level 35).
+    SDK.  They must correspond to Android version 16 (API level 36).
 
   - the path to the C compiler in the Android NDK, for the kind of CPU
     you are building Emacs to run on.
@@ -116,7 +116,7 @@ DEX format employed by Android.  There is one subdirectory for each
 version of the build tools, but the version you opt for is not of
 paramount significance: if your version does not work, configure will
 protest, so install a newer one.  We anticipate that most recent
-releases will work, such as those from the 34.0.x, and 35.0.x series.
+releases will work, such as those from the 35.0.x and 36.0.x series.
 
 
 BUILDING WITH OLD NDK VERSIONS
diff --git a/java/org/gnu/emacs/EmacsActivity.java b/java/org/gnu/emacs/EmacsActivity.java
index 439a8defa32..6970728998b 100644
--- a/java/org/gnu/emacs/EmacsActivity.java
+++ b/java/org/gnu/emacs/EmacsActivity.java
@@ -50,6 +50,11 @@ import android.view.WindowInsetsController;
 
 import android.widget.FrameLayout;
 
+import android.window.BackEvent;
+import android.window.OnBackAnimationCallback;
+import android.window.OnBackInvokedCallback;
+import android.window.OnBackInvokedDispatcher;
+
 public class EmacsActivity extends Activity
   implements EmacsWindowManager.WindowConsumer,
   ViewTreeObserver.OnGlobalLayoutListener
@@ -252,6 +257,59 @@ public class EmacsActivity extends Activity
     return window;
   }
 
+  private void
+  interceptBackGesture ()
+  {
+    OnBackInvokedDispatcher dispatcher;
+    int priority = OnBackInvokedDispatcher.PRIORITY_DEFAULT;
+    OnBackInvokedCallback callback;
+
+    dispatcher = getOnBackInvokedDispatcher ();
+    callback = new OnBackAnimationCallback () {
+	@Override
+	public void
+	onBackInvoked ()
+	{
+	  View view = EmacsActivity.this.getCurrentFocus ();
+	  EmacsWindow window;
+
+	  if (view instanceof EmacsView)
+	    {
+	      window = ((EmacsView) view).window;
+	      window.onBackInvoked ();
+	    }
+	}
+
+	/* The three functions are overridden to prevent a misleading
+	   back animation from being displayed, as Emacs intercepts all
+	   back gestures and will not return to the home screen.  */
+
+	@Override
+	public void
+	onBackCancelled ()
+	{
+
+	}
+
+	@Override
+	public void
+	onBackProgressed (BackEvent gestureEvent)
+	{
+
+	}
+
+	@Override
+	public void
+	onBackStarted (BackEvent gestureEvent)
+	{
+
+	}
+    };
+    dispatcher.registerOnBackInvokedCallback (priority, callback);
+  }
+
+
+
   @Override
   public void
   onCreate (Bundle savedInstanceState)
@@ -286,6 +344,11 @@ public class EmacsActivity extends Activity
     if (Build.VERSION.SDK_INT >= Build.VERSION_CODES.VANILLA_ICE_CREAM)
       layout.setFitsSystemWindows (true);
 
+    /* Android 16 replaces KEYCODE_BACK with a callback registered at
+       the window level.  */
+    if (Build.VERSION.SDK_INT >= Build.VERSION_CODES.BAKLAVA)
+      interceptBackGesture ();
+
     /* Maybe start the Emacs service if necessary.  */
     EmacsService.startEmacsService (this);
 
diff --git a/java/org/gnu/emacs/EmacsWindow.java b/java/org/gnu/emacs/EmacsWindow.java
index 394b2c26414..fffa2cc5d49 100644
--- a/java/org/gnu/emacs/EmacsWindow.java
+++ b/java/org/gnu/emacs/EmacsWindow.java
@@ -58,6 +58,7 @@ import android.util.SparseArray;
 import android.util.Log;
 
 import android.os.Build;
+import android.os.SystemClock;
 
 /* This defines a window, which is a handle.  Windows represent a
    rectangular subset of the screen with their own contents.
@@ -890,6 +891,20 @@ public final class EmacsWindow extends EmacsHandleObject
     EmacsNative.sendWindowAction (this.handle, 0);
   }
 
+  /* Dispatch a back gesture invocation as a KeyPress event.  Lamentably
+     the platform does not appear to support reporting keyboard
+     modifiers with these events.  */
+
+  public void
+  onBackInvoked ()
+  {
+    long time = SystemClock.uptimeMillis ();
+    EmacsNative.sendKeyPress (this.handle, time, 0,
+			      KeyEvent.KEYCODE_BACK, 0);
+    EmacsNative.sendKeyRelease (this.handle, time, 0,
+				KeyEvent.KEYCODE_BACK, 0);
+  }
+
 
 
   /* Mouse and touch event handling.
diff --git a/src/keyboard.c b/src/keyboard.c
index 5db11ad6379..8b2ebd215d2 100644
--- a/src/keyboard.c
+++ b/src/keyboard.c
@@ -5099,6 +5099,25 @@ static const char *const lispy_function_keys[] =
     [285] = "browser-refresh",
     [28]  = "clear",
     [300] = "XF86Forward",
+    [319] = "dictate",
+    [320] = "new",
+    [321] = "close",
+    [322] = "do-not-disturb",
+    [323] = "print",
+    [324] = "lock",
+    [325] = "fullscreen",
+    [326] = "f13",
+    [327] = "f14",
+    [328] = "f15",
+    [329] = "f16",
+    [330] = "f17",
+    [331] = "f18",
+    [332] = "f19",
+    [333] = "f20",
+    [334] = "f21",
+    [335] = "f22",
+    [336] = "f23",
+    [337] = "f24",
     [4]	  = "XF86Back",
     [61]  = "tab",
     [66]  = "return",