28821131599680 has 336 divisors, whose sum is σ = 113334711469824. Its totient is φ = 6585348833280.

The previous prime is 28821131599609. The next prime is 28821131599801. The reversal of 28821131599680 is 8699513112882.

28821131599680 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 1 + 1 + 31 + 599 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×28821131599680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56860965 + ... + 57365595.

Almost surely, 2^{28821131599680} is an apocalyptic number.

28821131599680 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 28821131599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56667355734912).

28821131599680 is an abundant number, since it is smaller than the sum of its proper divisors (84513579870144).

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

28821131599680 is a wasteful number, since it uses less digits than its factorization.

28821131599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507494 (or 507481 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 28821131599680 in words is "twenty-eight trillion, eight hundred twenty-one billion, one hundred thirty-one million, five hundred ninety-nine thousand, six hundred eighty".