32788832 has 48 divisors (see below), whose sum is σ = 68544000. Its totient is φ = 15396480.

The previous prime is 32788829. The next prime is 32788841. The reversal of 32788832 is 23888723.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 32788832.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 120857 + ... + 121127.

It is an arithmetic number, because the mean of its divisors is an integer number (1428000).

Almost surely, 2^32788832 is an apocalyptic number.

32788832 is a gapful number since it is divisible by the number (32) 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 32788832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272000).

32788832 is an abundant number, since it is smaller than the sum of its proper divisors (35755168).

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

32788832 is a wasteful number, since it uses less digits than its factorization.

32788832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 32788832 is about 5726.1533336089. The cubic root of 32788832 is about 320.0677981347.

The spelling of 32788832 in words is "thirty-two million, seven hundred eighty-eight thousand, eight hundred thirty-two".