28368071607744 has 336 divisors, whose sum is σ = 92581222406400. Its totient is φ = 8220801515520.

The previous prime is 28368071607703. The next prime is 28368071607779. The reversal of 28368071607744 is 44770617086382.

28368071607744 is a `hidden beast` number, since 2 + 8 + 368 + 0 + 7 + 160 + 77 + 44 = 666.

It is a congruent number.

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, 743047984 + ... + 743086160.

It is an arithmetic number, because the mean of its divisors is an integer number (275539352400).

Almost surely, 2^{28368071607744} is an apocalyptic number.

28368071607744 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 28368071607744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46290611203200).

28368071607744 is an abundant number, since it is smaller than the sum of its proper divisors (64213150798656).

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

28368071607744 is a wasteful number, since it uses less digits than its factorization.

28368071607744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43328 (or 43315 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 28368071607744 in words is "twenty-eight trillion, three hundred sixty-eight billion, seventy-one million, six hundred seven thousand, seven hundred forty-four".