28626618499200 has 576 divisors, whose sum is σ = 106141578379200. Its totient is φ = 7618484367360.

The previous prime is 28626618499169. The next prime is 28626618499207. The reversal of 28626618499200 is 299481662682.

28626618499200 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 6 + 618 + 4 + 9 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (28626618499207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391096206 + ... + 391169394.

It is an arithmetic number, because the mean of its divisors is an integer number (184273573575).

Almost surely, 2^{28626618499200} is an apocalyptic number.

28626618499200 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 28626618499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53070789189600).

28626618499200 is an abundant number, since it is smaller than the sum of its proper divisors (77514959880000).

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

28626618499200 is an equidigital number, since it uses as much as digits as its factorization.

28626618499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73731 (or 73702 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 28626618499200 in words is "twenty-eight trillion, six hundred twenty-six billion, six hundred eighteen million, four hundred ninety-nine thousand, two hundred".