26828228935872 has 336 divisors, whose sum is σ = 98149369473792. Its totient is φ = 7075576488960.

The previous prime is 26828228935861. The next prime is 26828228935927. The reversal of 26828228935872 is 27853982282862.

26828228935872 is a `hidden beast` number, since 2 + 68 + 282 + 289 + 3 + 5 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26828228935872.

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, 8063154 + ... + 10893617.

It is an arithmetic number, because the mean of its divisors is an integer number (292111218672).

Almost surely, 2^{26828228935872} is an apocalyptic number.

It is an amenable number.

26828228935872 is an abundant number, since it is smaller than the sum of its proper divisors (71321140537920).

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

26828228935872 is a wasteful number, since it uses less digits than its factorization.

26828228935872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18956818 (or 18956796 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 26828228935872 in words is "twenty-six trillion, eight hundred twenty-eight billion, two hundred twenty-eight million, nine hundred thirty-five thousand, eight hundred seventy-two".