28832832 has 84 divisors (see below), whose sum is σ = 94463616. Its totient is φ = 8236800.

The previous prime is 28832827. The next prime is 28832851. The reversal of 28832832 is 23823882.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×28832832² = 1662664402280448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457 + ... + 7607.

Almost surely, 2^28832832 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 28832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47231808).

28832832 is an abundant number, since it is smaller than the sum of its proper divisors (65630784).

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

28832832 is a wasteful number, since it uses less digits than its factorization.

28832832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176 (or 7163 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 28832832 is about 5369.6212156911. The cubic root of 28832832 is about 306.6402077571.

The spelling of 28832832 in words is "twenty-eight million, eight hundred thirty-two thousand, eight hundred thirty-two".