28631200 has 72 divisors (see below), whose sum is σ = 75299868. Its totient is φ = 10567680.

The previous prime is 28631191. The next prime is 28631201. The reversal of 28631200 is 213682.

It can be written as a sum of positive squares in 6 ways, for example, as 12082576 + 16548624 = 3476^2 + 4068^2 .

It is a super-2 number, since 2×28631200² = 1639491226880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28631201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9024 + ... + 11776.

Almost surely, 2^28631200 is an apocalyptic number.

28631200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37649934).

28631200 is an abundant number, since it is smaller than the sum of its proper divisors (46668668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28631200 is a wasteful number, since it uses less digits than its factorization.

28631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 28631200 is about 5350.8130223360. The cubic root of 28631200 is about 305.9237425139.

Adding to 28631200 its reverse (213682), we get a palindrome (28844882).

It can be divided in two parts, 286 and 31200, that multiplied together give a triangular number (8923200 = T₄₂₂₄).

The spelling of 28631200 in words is "twenty-eight million, six hundred thirty-one thousand, two hundred".