52428832 has 48 divisors (see below), whose sum is σ = 107163000. Its totient is φ = 25231360.

The previous prime is 52428767. The next prime is 52428841. The reversal of 52428832 is 23882425.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26255376 + 26173456 = 5124^2 + 5116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116544 + ... + 116992.

Almost surely, 2^52428832 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 52428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53581500).

52428832 is an abundant number, since it is smaller than the sum of its proper divisors (54734168).

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

52428832 is a wasteful number, since it uses less digits than its factorization.

52428832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 52428832 is about 7240.7756490586. The cubic root of 52428832 is about 374.2743466375.

It can be divided in two parts, 524288 and 32, that multiplied together give a 24-th power (16777216 = 2²⁴).

The spelling of 52428832 in words is "fifty-two million, four hundred twenty-eight thousand, eight hundred thirty-two".