57328128 has 320 divisors, whose sum is σ = 206236800. Its totient is φ = 15482880.

The previous prime is 57328093. The next prime is 57328189. The reversal of 57328128 is 82182375.

57328128 is a `hidden beast` number, since 573 + 2 + 81 + 2 + 8 = 666.

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

Its product of digits (26880) is a multiple of the sum of its prime factors (80).

It is a junction number, because it is equal to n+sod(n) for n = 57328092 and 57328101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976818 + ... + 1976846.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^57328128 is an apocalyptic number.

57328128 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

57328128 is an abundant number, since it is smaller than the sum of its proper divisors (148908672).

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

57328128 is a wasteful number, since it uses less digits than its factorization.

57328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 57328128 is about 7571.5340585644. The cubic root of 57328128 is about 385.5871806944.

The spelling of 57328128 in words is "fifty-seven million, three hundred twenty-eight thousand, one hundred twenty-eight".