57728016 has 60 divisors (see below), whose sum is σ = 165333168. Its totient is φ = 18793152.

The previous prime is 57728003. The next prime is 57728053. The reversal of 57728016 is 61082775.

57728016 is a `hidden beast` number, since 577 + 2 + 80 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1531 + ... + 10853.

Almost surely, 2^57728016 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 57728016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82666584).

57728016 is an abundant number, since it is smaller than the sum of its proper divisors (107605152).

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

57728016 is a wasteful number, since it uses less digits than its factorization.

57728016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 57728016 is about 7597.8954980968. The cubic root of 57728016 is about 386.4816488338.

The spelling of 57728016 in words is "fifty-seven million, seven hundred twenty-eight thousand, sixteen".