At the time of this writing, the Houston Astros sit alone at the top of the list of most players on the IL in the Majors with 17. Lance McCullers Jr. was the latest addition, going on the 15-day IL yesterday (retro to 7/20) with a right finger blister, because of course he did. With his addition, that makes it 8 pitchers and 9 skill position players on the list, including names like Yordan Alvarez (still), Isaac Paredes, Jeremy Peña, Spencer Arrighetti, and Christian Javier.
To their credit however, Joe Espada and the skeleton crew remaining have performed as admirably as they can muster, currently sitting at 58-42 on the season with a 5.