28501824764160 has 432 divisors, whose sum is σ = 107666174423808. Its totient is φ = 6903882547200.

The previous prime is 28501824764143. The next prime is 28501824764243. The reversal of 28501824764160 is 6146742810582.

28501824764160 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 1 + 8 + 2 + 476 + 4 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28501824764097 and 28501824764106.

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, 155900964 + ... + 156083676.

Almost surely, 2^{28501824764160} is an apocalyptic number.

28501824764160 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 28501824764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53833087211904).

28501824764160 is an abundant number, since it is smaller than the sum of its proper divisors (79164349659648).

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

28501824764160 is a wasteful number, since it uses less digits than its factorization.

28501824764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183982 (or 183965 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 28501824764160 in words is "twenty-eight trillion, five hundred one billion, eight hundred twenty-four million, seven hundred sixty-four thousand, one hundred sixty".