28164129600 has 336 divisors, whose sum is σ = 95207620608. Its totient is φ = 7285340160.

The previous prime is 28164129599. The next prime is 28164129613. The reversal of 28164129600 is 692146182.

It is a super-2 number, since 2×28164129600² (a number of 22 digits) contains 22 as substring.

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, 28650709 + ... + 28651691.

Almost surely, 2^28164129600 is an apocalyptic number.

28164129600 is a gapful number since it is divisible by the number (20) 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 28164129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47603810304).

28164129600 is an abundant number, since it is smaller than the sum of its proper divisors (67043491008).

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

28164129600 is a wasteful number, since it uses less digits than its factorization.

28164129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 28164129600 in words is "twenty-eight billion, one hundred sixty-four million, one hundred twenty-nine thousand, six hundred".