28158802560 has 1152 divisors, whose sum is σ = 122442840000. Its totient is φ = 5926846464.

The previous prime is 28158802519. The next prime is 28158802561. The reversal of 28158802560 is 6520885182.

28158802560 is a `hidden beast` number, since 2 + 8 + 1 + 5 + 8 + 80 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×28158802560² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28158802561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 316390996 + ... + 316391084.

Almost surely, 2^28158802560 is an apocalyptic number.

28158802560 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 28158802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61221420000).

28158802560 is an abundant number, since it is smaller than the sum of its proper divisors (94284037440).

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

28158802560 is a wasteful number, since it uses less digits than its factorization.

28158802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 28158802560 in words is "twenty-eight billion, one hundred fifty-eight million, eight hundred two thousand, five hundred sixty".