52935688 has 64 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 22643712.

The previous prime is 52935679. The next prime is 52935689. The reversal of 52935688 is 88653925.

It is not an unprimeable number, because it can be changed into a prime (52935689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139483 + ... + 139861.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^52935688 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 52935688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

52935688 is an abundant number, since it is smaller than the sum of its proper divisors (61976312).

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

52935688 is a wasteful number, since it uses less digits than its factorization.

52935688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 52935688 is about 7275.6915822484. The cubic root of 52935688 is about 375.4765804367.

The spelling of 52935688 in words is "fifty-two million, nine hundred thirty-five thousand, six hundred eighty-eight".