28645947878400 has 198 divisors, whose sum is σ = 102566046349052. Its totient is φ = 7638919372800.

The previous prime is 28645947878369. The next prime is 28645947878413. The reversal of 28645947878400 is 487874954682.

28645947878400 is a `hidden beast` number, since 2 + 8 + 6 + 45 + 9 + 478 + 78 + 40 + 0 = 666.

It is a super-2 number, since 2×28645947878400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 17 ways as a sum of consecutive naturals, for example, 61935286 + ... + 62396085.

Almost surely, 2^{28645947878400} is an apocalyptic number.

28645947878400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28645947878400 is an abundant number, since it is smaller than the sum of its proper divisors (73920098470652).

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

28645947878400 is a wasteful number, since it uses less digits than its factorization.

28645947878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124331407 (or 124331381 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 28645947878400 in words is "twenty-eight trillion, six hundred forty-five billion, nine hundred forty-seven million, eight hundred seventy-eight thousand, four hundred".