28574656104960 has 2400 divisors, whose sum is σ = 124489779144192. Its totient is φ = 6238795530240.

The previous prime is 28574656104941. The next prime is 28574656104979. The reversal of 28574656104960 is 6940165647582.

28574656104960 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 4 + 6 + 5 + 610 + 4 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28574656104941) and next prime (28574656104979).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26143326174 + ... + 26143327266.

Almost surely, 2^{28574656104960} is an apocalyptic number.

28574656104960 is a gapful number since it is divisible by the number (20) 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 28574656104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244889572096).

28574656104960 is an abundant number, since it is smaller than the sum of its proper divisors (95915123039232).

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

28574656104960 is a wasteful number, since it uses less digits than its factorization.

28574656104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 28574656104960 in words is "twenty-eight trillion, five hundred seventy-four billion, six hundred fifty-six million, one hundred four thousand, nine hundred sixty".