28956153600 has 648 divisors, whose sum is σ = 117905703552. Its totient is φ = 6711091200.

The previous prime is 28956153511. The next prime is 28956153661. The reversal of 28956153600 is 635165982.

28956153600 is a `hidden beast` number, since 2 + 89 + 561 + 5 + 3 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14571807 + ... + 14573793.

Almost surely, 2^28956153600 is an apocalyptic number.

28956153600 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 28956153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58952851776).

28956153600 is an abundant number, since it is smaller than the sum of its proper divisors (88949549952).

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

28956153600 is a wasteful number, since it uses less digits than its factorization.

28956153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 28956153600 in words is "twenty-eight billion, nine hundred fifty-six million, one hundred fifty-three thousand, six hundred".