557928000 has 672 divisors, whose sum is σ = 2423086848. Its totient is φ = 124416000.

The previous prime is 557927983. The next prime is 557928001. The reversal of 557928000 is 829755.

557928000 is a `hidden beast` number, since 5 + 579 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×557928000² = 622567306368000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557928001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607980 + ... + 13608020.

It is an arithmetic number, because the mean of its divisors is an integer number (3605784).

Almost surely, 2^557928000 is an apocalyptic number.

557928000 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 557928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211543424).

557928000 is an abundant number, since it is smaller than the sum of its proper divisors (1865158848).

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

557928000 is an equidigital number, since it uses as much as digits as its factorization.

557928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 557928000 is about 23620.4995713469. The cubic root of 557928000 is about 823.2392198843.

The spelling of 557928000 in words is "five hundred fifty-seven million, nine hundred twenty-eight thousand".