28630611174564 has 81 divisors (see below), whose sum is σ = 84188291301387. Its totient is φ = 8180110412208.

The previous prime is 28630611174541. The next prime is 28630611174643. The reversal of 28630611174564 is 46547111603682.

The square root of 28630611174564 is 5350758.

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

28630611174564 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 0 + 6 + 1 + 1 + 1 + 74 + 564 = 666.

It is a super-3 number, since 3×28630611174564³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28630611174564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 224668137 + ... + 224795535.

Almost surely, 2^{28630611174564} is an apocalyptic number.

28630611174564 is the 5350758-th square number.

It is an amenable number.

28630611174564 is an abundant number, since it is smaller than the sum of its proper divisors (55557680126823).

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

28630611174564 is an frugal number, since it uses more digits than its factorization.

28630611174564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254822 (or 127411 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28630611174564 in words is "twenty-eight trillion, six hundred thirty billion, six hundred eleven million, one hundred seventy-four thousand, five hundred sixty-four".