556728900 has 144 divisors (see below), whose sum is σ = 1982623104. Its totient is φ = 117457920.

The previous prime is 556728889. The next prime is 556728911. The reversal of 556728900 is 9827655.

It is an interprime number because it is at equal distance from previous prime (556728889) and next prime (556728911).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17104 + ... + 37496.

It is an arithmetic number, because the mean of its divisors is an integer number (13768216).

Almost surely, 2^556728900 is an apocalyptic number.

556728900 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 556728900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991311552).

556728900 is an abundant number, since it is smaller than the sum of its proper divisors (1425894204).

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

556728900 is a wasteful number, since it uses less digits than its factorization.

556728900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20430 (or 20423 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 556728900 is about 23595.1033055590. The cubic root of 556728900 is about 822.6490277290.

The spelling of 556728900 in words is "five hundred fifty-six million, seven hundred twenty-eight thousand, nine hundred".