52088832 has 130 divisors (see below), whose sum is σ = 156595538. Its totient is φ = 17252352.

The previous prime is 52088807. The next prime is 52088837. The reversal of 52088832 is 23888025.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 11943936 = 6336^2 + 3456^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52088837) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331698 + ... + 331854.

Almost surely, 2^52088832 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 52088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78297769).

52088832 is an abundant number, since it is smaller than the sum of its proper divisors (104506706).

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

52088832 is an equidigital number, since it uses as much as digits as its factorization.

52088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 52088832 is about 7217.2593136176. The cubic root of 52088832 is about 373.4635373511.

The spelling of 52088832 in words is "fifty-two million, eighty-eight thousand, eight hundred thirty-two".