28995069600 has 432 divisors, whose sum is σ = 121935445632. Its totient is φ = 6339041280.

The previous prime is 28995069599. The next prime is 28995069683. The reversal of 28995069600 is 696059982.

28995069600 is a `hidden beast` number, since 28 + 9 + 9 + 5 + 0 + 6 + 9 + 600 = 666.

It is a super-2 number, since 2×28995069600² (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 71 ways as a sum of consecutive naturals, for example, 1146694 + ... + 1171706.

It is an arithmetic number, because the mean of its divisors is an integer number (282257976).

Almost surely, 2^28995069600 is an apocalyptic number.

28995069600 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 28995069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60967722816).

28995069600 is an abundant number, since it is smaller than the sum of its proper divisors (92940376032).

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

28995069600 is a wasteful number, since it uses less digits than its factorization.

28995069600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25069 (or 25053 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 28995069600 in words is "twenty-eight billion, nine hundred ninety-five million, sixty-nine thousand, six hundred".