28322809920 has 420 divisors, whose sum is σ = 102949987140. Its totient is φ = 7391195136.

The previous prime is 28322809909. The next prime is 28322810011. The reversal of 28322809920 is 2990822382.

28322809920 is a `hidden beast` number, since 283 + 2 + 280 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10036224 + 28312773696 = 3168^2 + 168264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 72809086 + ... + 72809474.

It is an arithmetic number, because the mean of its divisors is an integer number (245119017).

Almost surely, 2^28322809920 is an apocalyptic number.

28322809920 is a gapful number since it is divisible by the number (20) 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 28322809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51474993570).

28322809920 is an abundant number, since it is smaller than the sum of its proper divisors (74627177220).

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

28322809920 is an equidigital number, since it uses as much as digits as its factorization.

28322809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 28322809920 in words is "twenty-eight billion, three hundred twenty-two million, eight hundred nine thousand, nine hundred twenty".