57011328 has 144 divisors (see below), whose sum is σ = 180766950. Its totient is φ = 17233920.

The previous prime is 57011327. The next prime is 57011351. The reversal of 57011328 is 82311075.

It can be written as a sum of positive squares in only one way, i.e., 36869184 + 20142144 = 6072^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (57011323) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139188 + ... + 139596.

Almost surely, 2^57011328 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 57011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90383475).

57011328 is an abundant number, since it is smaller than the sum of its proper divisors (123755622).

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

57011328 is a wasteful number, since it uses less digits than its factorization.

57011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 57011328 is about 7550.5846131276. The cubic root of 57011328 is about 384.8756060710.

The spelling of 57011328 in words is "fifty-seven million, eleven thousand, three hundred twenty-eight".