28901664624 has 160 divisors (see below), whose sum is σ = 86597632000. Its totient is φ = 8135292672.

The previous prime is 28901664601. The next prime is 28901664637. The reversal of 28901664624 is 42646610982.

It is a super-2 number, since 2×28901664624² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16429857 + ... + 16431615.

It is an arithmetic number, because the mean of its divisors is an integer number (541235200).

Almost surely, 2^28901664624 is an apocalyptic number.

28901664624 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 28901664624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43298816000).

28901664624 is an abundant number, since it is smaller than the sum of its proper divisors (57695967376).

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

28901664624 is a wasteful number, since it uses less digits than its factorization.

28901664624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 28901664624 in words is "twenty-eight billion, nine hundred one million, six hundred sixty-four thousand, six hundred twenty-four".