28689882100560 has 240 divisors, whose sum is σ = 99471293096448. Its totient is φ = 7402870195200.

The previous prime is 28689882100501. The next prime is 28689882100589. The reversal of 28689882100560 is 6500128898682.

28689882100560 is a `hidden beast` number, since 2 + 8 + 68 + 9 + 8 + 8 + 2 + 1 + 0 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178725294 + ... + 178885746.

Almost surely, 2^{28689882100560} is an apocalyptic number.

28689882100560 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 28689882100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49735646548224).

28689882100560 is an abundant number, since it is smaller than the sum of its proper divisors (70781410995888).

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

28689882100560 is a wasteful number, since it uses less digits than its factorization.

28689882100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168514 (or 168505 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 28689882100560 in words is "twenty-eight trillion, six hundred eighty-nine billion, eight hundred eighty-two million, one hundred thousand, five hundred sixty".