What is "gotten on"

Usage examples of "gotten on".

I thought about the message the warden had just gotten on his radio.

Just once, I wanted to hear the I-sacrificed-to-raise-you-and-now-look-at-what-you've-done speech that everyone I knew had gotten on such occasions.

Bill didn't want to ask how Brownnose had gotten on board the Gumption.

As I gazed at the houses and lawns flying by I wondered whether psychoanalysis had somehow gotten on the wrong track.