23283920352 has 288 divisors, whose sum is σ = 78379176960. Its totient is φ = 5984133120.

The previous prime is 23283920347. The next prime is 23283920369. The reversal of 23283920352 is 25302938232.

It is a super-3 number, since 3×23283920352³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23283920352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5016849 + ... + 5021487.

It is an arithmetic number, because the mean of its divisors is an integer number (272149920).

Almost surely, 2^23283920352 is an apocalyptic number.

23283920352 is a gapful number since it is divisible by the number (22) 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 23283920352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39189588480).

23283920352 is an abundant number, since it is smaller than the sum of its proper divisors (55095256608).

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

23283920352 is a wasteful number, since it uses less digits than its factorization.

23283920352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 23283920352 in words is "twenty-three billion, two hundred eighty-three million, nine hundred twenty thousand, three hundred fifty-two".