28537152 has 112 divisors (see below), whose sum is σ = 91440000. Its totient is φ = 7667712.

The previous prime is 28537151. The next prime is 28537163. The reversal of 28537152 is 25173582.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×28537152² = 1628738088542208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28537151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22224 + ... + 23472.

Almost surely, 2^28537152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720000).

28537152 is an abundant number, since it is smaller than the sum of its proper divisors (62902848).

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

28537152 is a wasteful number, since it uses less digits than its factorization.

28537152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 28537152 is about 5342.0175963769. The cubic root of 28537152 is about 305.5884081383.

The spelling of 28537152 in words is "twenty-eight million, five hundred thirty-seven thousand, one hundred fifty-two".