28704900864 has 432 divisors, whose sum is σ = 87682694400. Its totient is φ = 8296611840.

The previous prime is 28704900827. The next prime is 28704900871. The reversal of 28704900864 is 46800940782.

It is a super-2 number, since 2×28704900864² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 322526932 + ... + 322527020.

It is an arithmetic number, because the mean of its divisors is an integer number (202969200).

Almost surely, 2^28704900864 is an apocalyptic number.

28704900864 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 28704900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43841347200).

28704900864 is an abundant number, since it is smaller than the sum of its proper divisors (58977793536).

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

28704900864 is a wasteful number, since it uses less digits than its factorization.

28704900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 28704900864 in words is "twenty-eight billion, seven hundred four million, nine hundred thousand, eight hundred sixty-four".