28981637568576 has 504 divisors, whose sum is σ = 104436780581952. Its totient is φ = 7521668352000.

The previous prime is 28981637568571. The next prime is 28981637568599. The reversal of 28981637568576 is 67586573618982.

28981637568576 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 1 + 6 + 37 + 5 + 6 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×28981637568576² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28981637568495 and 28981637568504.

It is not an unprimeable number, because it can be changed into a prime (28981637568571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 625916626 + ... + 625962926.

It is an arithmetic number, because the mean of its divisors is an integer number (207215834488).

Almost surely, 2^{28981637568576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28981637568576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52218390290976).

28981637568576 is an abundant number, since it is smaller than the sum of its proper divisors (75455143013376).

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

28981637568576 is a wasteful number, since it uses less digits than its factorization.

28981637568576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47631 (or 47607 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 81.

The spelling of 28981637568576 in words is "twenty-eight trillion, nine hundred eighty-one billion, six hundred thirty-seven million, five hundred sixty-eight thousand, five hundred seventy-six".