57728500 has 48 divisors (see below), whose sum is σ = 126846720. Its totient is φ = 22951200.

The previous prime is 57728497. The next prime is 57728521. The reversal of 57728500 is 582775.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131281 + ... + 131719.

It is an arithmetic number, because the mean of its divisors is an integer number (2642640).

Almost surely, 2^57728500 is an apocalyptic number.

57728500 is a gapful number since it is divisible by the number (50) 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 57728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63423360).

57728500 is an abundant number, since it is smaller than the sum of its proper divisors (69118220).

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

57728500 is a wasteful number, since it uses less digits than its factorization.

57728500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 57728500 is about 7597.9273489551. The cubic root of 57728500 is about 386.4827289368.

The spelling of 57728500 in words is "fifty-seven million, seven hundred twenty-eight thousand, five hundred".