557664128 has 64 divisors (see below), whose sum is σ = 1275832320. Its totient is φ = 237841920.

The previous prime is 557664109. The next prime is 557664131. The reversal of 557664128 is 821466755.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198413 + ... + 201203.

It is an arithmetic number, because the mean of its divisors is an integer number (19934880).

Almost surely, 2^557664128 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 557664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637916160).

557664128 is an abundant number, since it is smaller than the sum of its proper divisors (718168192).

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

557664128 is a wasteful number, since it uses less digits than its factorization.

557664128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3023 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 557664128 is about 23614.9132541282. The cubic root of 557664128 is about 823.1094157789.

The spelling of 557664128 in words is "five hundred fifty-seven million, six hundred sixty-four thousand, one hundred twenty-eight".