28520688384 has 432 divisors, whose sum is σ = 91402365600. Its totient is φ = 8838512640.

The previous prime is 28520688347. The next prime is 28520688419. The reversal of 28520688384 is 48388602582.

28520688384 is a `hidden beast` number, since 2 + 8 + 520 + 6 + 88 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28520688384.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 157572774 + ... + 157572954.

It is an arithmetic number, because the mean of its divisors is an integer number (211579550).

Almost surely, 2^28520688384 is an apocalyptic number.

28520688384 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 28520688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45701182800).

28520688384 is an abundant number, since it is smaller than the sum of its proper divisors (62881677216).

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

28520688384 is a wasteful number, since it uses less digits than its factorization.

28520688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 28520688384 in words is "twenty-eight billion, five hundred twenty million, six hundred eighty-eight thousand, three hundred eighty-four".