28072728535824 has 200 divisors, whose sum is σ = 92904644847168. Its totient is φ = 8016737806080.

The previous prime is 28072728535799. The next prime is 28072728535847. The reversal of 28072728535824 is 42853582727082.

28072728535824 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 2 + 72 + 8 + 535 + 8 + 24 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17247394 + ... + 18804734.

Almost surely, 2^{28072728535824} is an apocalyptic number.

28072728535824 is a gapful number since it is divisible by the number (24) 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 28072728535824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46452322423584).

28072728535824 is an abundant number, since it is smaller than the sum of its proper divisors (64831916311344).

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

28072728535824 is a wasteful number, since it uses less digits than its factorization.

28072728535824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559355 (or 1559340 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 28072728535824 in words is "twenty-eight trillion, seventy-two billion, seven hundred twenty-eight million, five hundred thirty-five thousand, eight hundred twenty-four".