28577525760 has 1040 divisors, whose sum is σ = 123310066176. Its totient is φ = 6189613056.

The previous prime is 28577525729. The next prime is 28577525797. The reversal of 28577525760 is 6752577582.

28577525760 is a `hidden beast` number, since 2 + 8 + 57 + 7 + 525 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28577525697 and 28577525706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 267079627 + ... + 267079733.

Almost surely, 2^28577525760 is an apocalyptic number.

28577525760 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 28577525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61655033088).

28577525760 is an abundant number, since it is smaller than the sum of its proper divisors (94732540416).

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

28577525760 is a wasteful number, since it uses less digits than its factorization.

28577525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 28577525760 in words is "twenty-eight billion, five hundred seventy-seven million, five hundred twenty-five thousand, seven hundred sixty".