28117665504 has 72 divisors (see below), whose sum is σ = 80294366880. Its totient is φ = 9333316608.

The previous prime is 28117665469. The next prime is 28117665529. The reversal of 28117665504 is 40556671182.

28117665504 is a `hidden beast` number, since 2 + 8 + 11 + 76 + 65 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×28117665504² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28117665504.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 135417 + ... + 273080.

It is an arithmetic number, because the mean of its divisors is an integer number (1115199540).

Almost surely, 2^28117665504 is an apocalyptic number.

28117665504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28117665504 is an abundant number, since it is smaller than the sum of its proper divisors (52176701376).

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

28117665504 is a wasteful number, since it uses less digits than its factorization.

28117665504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408752 (or 408741 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 28117665504 in words is "twenty-eight billion, one hundred seventeen million, six hundred sixty-five thousand, five hundred four".