28179591264 has 360 divisors, whose sum is σ = 90852685560. Its totient is φ = 8279884800.

The previous prime is 28179591227. The next prime is 28179591281. The reversal of 28179591264 is 46219597182.

It is a happy number.

28179591264 is a `hidden beast` number, since 28 + 1 + 7 + 9 + 591 + 26 + 4 = 666.

It is a super-2 number, since 2×28179591264² (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 28179591264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 172880847 + ... + 172881009.

It is an arithmetic number, because the mean of its divisors is an integer number (252368571).

Almost surely, 2^28179591264 is an apocalyptic number.

28179591264 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 28179591264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45426342780).

28179591264 is an abundant number, since it is smaller than the sum of its proper divisors (62673094296).

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

28179591264 is a wasteful number, since it uses less digits than its factorization.

28179591264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 220 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 28179591264 in words is "twenty-eight billion, one hundred seventy-nine million, five hundred ninety-one thousand, two hundred sixty-four".