57528320 has 78 divisors (see below), whose sum is σ = 140704998. Its totient is φ = 22577152.

The previous prime is 57528319. The next prime is 57528337. The reversal of 57528320 is 2382575.

It can be written as a sum of positive squares in 3 ways, for example, as 15745024 + 41783296 = 3968^2 + 6464^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1085414 + ... + 1085466.

Almost surely, 2^57528320 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 57528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70352499).

57528320 is an abundant number, since it is smaller than the sum of its proper divisors (83176678).

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

57528320 is an frugal number, since it uses more digits than its factorization.

57528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 57528320 is about 7584.7425796793. The cubic root of 57528320 is about 386.0354876229.

The spelling of 57528320 in words is "fifty-seven million, five hundred twenty-eight thousand, three hundred twenty".