28090232352 has 864 divisors, whose sum is σ = 106724060352. Its totient is φ = 7200700416.

The previous prime is 28090232309. The next prime is 28090232363. The reversal of 28090232352 is 25323209082.

28090232352 is a `hidden beast` number, since 280 + 9 + 0 + 2 + 323 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×28090232352² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 262525483 + ... + 262525589.

It is an arithmetic number, because the mean of its divisors is an integer number (123523218).

Almost surely, 2^28090232352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28090232352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53362030176).

28090232352 is an abundant number, since it is smaller than the sum of its proper divisors (78633828000).

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

28090232352 is a wasteful number, since it uses less digits than its factorization.

28090232352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 28090232352 in words is "twenty-eight billion, ninety million, two hundred thirty-two thousand, three hundred fifty-two".