5628600576 has 135 divisors (see below), whose sum is σ = 16815744253. Its totient is φ = 1872599040.

The previous prime is 5628600569. The next prime is 5628600587. The reversal of 5628600576 is 6750068265.

The square root of 5628600576 is 75024.

It is a perfect power (a square), and thus also a powerful number.

5628600576 is a `hidden beast` number, since 56 + 28 + 6 + 0 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1614110976 + 4014489600 = 40176^2 + 63360^2 .

It is a super-2 number, since 2×5628600576² = 63362288888295063552, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10803196 + ... + 10803716.

Almost surely, 2^5628600576 is an apocalyptic number.

5628600576 is the 75024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628600576

5628600576 is an abundant number, since it is smaller than the sum of its proper divisors (11187143677).

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

5628600576 is an frugal number, since it uses more digits than its factorization.

5628600576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The cubic root of 5628600576 is about 1778.8260339656.

The spelling of 5628600576 in words is "five billion, six hundred twenty-eight million, six hundred thousand, five hundred seventy-six".