28586891613504 has 1120 divisors, whose sum is σ = 96748637388800. Its totient is φ = 7420274749440.

The previous prime is 28586891613503. The next prime is 28586891613559. The reversal of 28586891613504 is 40531619868582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28586891613503) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34483584162 + ... + 34483584990.

Almost surely, 2^{28586891613504} is an apocalyptic number.

28586891613504 is a gapful number since it is divisible by the number (24) 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 28586891613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48374318694400).

28586891613504 is an abundant number, since it is smaller than the sum of its proper divisors (68161745775296).

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

28586891613504 is a wasteful number, since it uses less digits than its factorization.

28586891613504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 66.

The spelling of 28586891613504 in words is "twenty-eight trillion, five hundred eighty-six billion, eight hundred ninety-one million, six hundred thirteen thousand, five hundred four".