28559682144 has 216 divisors, whose sum is σ = 94643993808. Its totient is φ = 8145446400.

The previous prime is 28559682113. The next prime is 28559682157. The reversal of 28559682144 is 44128695582.

28559682144 is a `hidden beast` number, since 2 + 8 + 5 + 596 + 8 + 2 + 1 + 44 = 666.

Its product of digits (5529600) is a multiple of the sum of its prime divisors (3600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9891069 + ... + 9893955.

It is an arithmetic number, because the mean of its divisors is an integer number (438166638).

Almost surely, 2^28559682144 is an apocalyptic number.

28559682144 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 28559682144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47321996904).

28559682144 is an abundant number, since it is smaller than the sum of its proper divisors (66084311664).

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

28559682144 is a wasteful number, since it uses less digits than its factorization.

28559682144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3600 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 28559682144 in words is "twenty-eight billion, five hundred fifty-nine million, six hundred eighty-two thousand, one hundred forty-four".