557728864 has 96 divisors (see below), whose sum is σ = 1374734592. Its totient is φ = 216384000.

The previous prime is 557728859. The next prime is 557728883. The reversal of 557728864 is 468827755.

It is a super-2 number, since 2×557728864² = 622122971477460992, which contains 22 as substring.

Its product of digits (3763200) is a multiple of the sum of its prime factors (980).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1135659 + ... + 1136149.

It is an arithmetic number, because the mean of its divisors is an integer number (14320152).

Almost surely, 2^557728864 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 557728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687367296).

557728864 is an abundant number, since it is smaller than the sum of its proper divisors (817005728).

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

557728864 is a wasteful number, since it uses less digits than its factorization.

557728864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 52.

The square root of 557728864 is about 23616.2838736326. The cubic root of 557728864 is about 823.1412645488.

The spelling of 557728864 in words is "five hundred fifty-seven million, seven hundred twenty-eight thousand, eight hundred sixty-four".