52928160 has 96 divisors (see below), whose sum is σ = 172150272. Its totient is φ = 13655040.

The previous prime is 52928159. The next prime is 52928173. The reversal of 52928160 is 6182925.

52928160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 13102 + ... + 16658.

It is an arithmetic number, because the mean of its divisors is an integer number (1793232).

Almost surely, 2^52928160 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 52928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86075136).

52928160 is an abundant number, since it is smaller than the sum of its proper divisors (119222112).

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

52928160 is a wasteful number, since it uses less digits than its factorization.

52928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 52928160 is about 7275.1742247179. The cubic root of 52928160 is about 375.4587807140.

The spelling of 52928160 in words is "fifty-two million, nine hundred twenty-eight thousand, one hundred sixty".