28678400593920 has 2496 divisors, whose sum is σ = 130560411211776. Its totient is φ = 5864950333440.

The previous prime is 28678400593831. The next prime is 28678400593933. The reversal of 28678400593920 is 2939500487682.

28678400593920 is a `hidden beast` number, since 2 + 86 + 78 + 400 + 59 + 39 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25674485202 + ... + 25674486318.

It is an arithmetic number, because the mean of its divisors is an integer number (52307857056).

Almost surely, 2^{28678400593920} is an apocalyptic number.

28678400593920 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 28678400593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65280205605888).

28678400593920 is an abundant number, since it is smaller than the sum of its proper divisors (101882010617856).

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

28678400593920 is a wasteful number, since it uses less digits than its factorization.

28678400593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 28678400593920 in words is "twenty-eight trillion, six hundred seventy-eight billion, four hundred million, five hundred ninety-three thousand, nine hundred twenty".