57728900 has 36 divisors (see below), whose sum is σ = 126103908. Its totient is φ = 22938240.

The previous prime is 57728857. The next prime is 57728947. The reversal of 57728900 is 982775.

It can be written as a sum of positive squares in 6 ways, for example, as 454276 + 57274624 = 674^2 + 7568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13862 + ... + 17538.

Almost surely, 2^57728900 is an apocalyptic number.

57728900 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 57728900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63051954).

57728900 is an abundant number, since it is smaller than the sum of its proper divisors (68375008).

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

57728900 is a wasteful number, since it uses less digits than its factorization.

57728900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 57728900 is about 7597.9536718777. The cubic root of 57728900 is about 386.4836215792.

The spelling of 57728900 in words is "fifty-seven million, seven hundred twenty-eight thousand, nine hundred".