28105580966400 has 480 divisors, whose sum is σ = 117898461098880. Its totient is φ = 6424132239360.

The previous prime is 28105580966389. The next prime is 28105580966417. The reversal of 28105580966400 is 466908550182.

28105580966400 is a `hidden beast` number, since 2 + 8 + 10 + 5 + 580 + 9 + 6 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3389659 + ... + 8228058.

It is an arithmetic number, because the mean of its divisors is an integer number (245621793956).

Almost surely, 2^{28105580966400} is an apocalyptic number.

28105580966400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28105580966400 is an abundant number, since it is smaller than the sum of its proper divisors (89792880132480).

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

28105580966400 is a wasteful number, since it uses less digits than its factorization.

28105580966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11617761 (or 11617734 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 28105580966400 in words is "twenty-eight trillion, one hundred five billion, five hundred eighty million, nine hundred sixty-six thousand, four hundred".