How many soldiers died at Antietam creek?

The Battle of Antietam (if you were a Union man), or Sharpsburg (if you were a Southerner), is the single bloodiest day in American history. In the course of just over one day of combat (I'm counting the casualties from the small skirmish the night before the battle began as well), there were more killed, wounded, or captured Americans on that day, than on any other single day of combat, in any other war.

The casualties for both Armies broke down as follows:

Union Army of the Potomac:

Killed - 2,108

Wounded - 9,540

Captured/Missing - 753

Confederate Army of Northern Virginia:

Killed - 1,546

Wounded - 7,752

Captured/Missing - 1,018