23482283328 has 504 divisors, whose sum is σ = 83849337000. Its totient is φ = 6242697216.

The previous prime is 23482283327. The next prime is 23482283329. The reversal of 23482283328 is 82338228432.

23482283328 is a `hidden beast` number, since 2 + 3 + 48 + 2 + 283 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (23482283327) and next prime (23482283329).

It can be written as a sum of positive squares in 4 ways, for example, as 9692008704 + 13790274624 = 98448^2 + 117432^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23482283327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52298848 + ... + 52299296.

Almost surely, 2^23482283328 is an apocalyptic number.

23482283328 is a gapful number since it is divisible by the number (28) 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 23482283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41924668500).

23482283328 is an abundant number, since it is smaller than the sum of its proper divisors (60367053672).

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

23482283328 is a wasteful number, since it uses less digits than its factorization.

23482283328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 587 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 23482283328 in words is "twenty-three billion, four hundred eighty-two million, two hundred eighty-three thousand, three hundred twenty-eight".