28505382624 has 480 divisors, whose sum is σ = 91812631680. Its totient is φ = 8646663168.

The previous prime is 28505382623. The next prime is 28505382721. The reversal of 28505382624 is 42628350582.

28505382624 is a `hidden beast` number, since 2 + 8 + 50 + 538 + 2 + 62 + 4 = 666.

It is a super-2 number, since 2×28505382624² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28505382624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28505382623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174879567 + ... + 174879729.

It is an arithmetic number, because the mean of its divisors is an integer number (191276316).

Almost surely, 2^28505382624 is an apocalyptic number.

28505382624 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 28505382624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45906315840).

28505382624 is an abundant number, since it is smaller than the sum of its proper divisors (63307249056).

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

28505382624 is a wasteful number, since it uses less digits than its factorization.

28505382624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 28505382624 in words is "twenty-eight billion, five hundred five million, three hundred eighty-two thousand, six hundred twenty-four".