28232515584 has 432 divisors, whose sum is σ = 100763574912. Its totient is φ = 7417626624.

The previous prime is 28232515583. The next prime is 28232515637. The reversal of 28232515584 is 48551523282.

28232515584 is a `hidden beast` number, since 2 + 82 + 3 + 2 + 515 + 58 + 4 = 666.

It is a super-2 number, since 2×28232515584² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28232515583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107347837 + ... + 107348099.

It is an arithmetic number, because the mean of its divisors is an integer number (233249016).

Almost surely, 2^28232515584 is an apocalyptic number.

28232515584 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 28232515584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50381787456).

28232515584 is an abundant number, since it is smaller than the sum of its proper divisors (72531059328).

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

28232515584 is an equidigital number, since it uses as much as digits as its factorization.

28232515584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 288 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 28232515584 in words is "twenty-eight billion, two hundred thirty-two million, five hundred fifteen thousand, five hundred eighty-four".