For most schools, your TOEFL score is more than enough.
However, there are indeed some schools that require more than that (24) for each section. When I applied, I remember a few schools explicitly asking for at least 25, if I'm not mistaken.
Some schools also accept the IELTS, and I found the speaking section of the IELTS much more natural than the one from TOEFL. For the IELTS, you meet and talk with a real person.