8832238464 has 512 divisors, whose sum is σ = 30143692800. Its totient is φ = 2233516032.

The previous prime is 8832238417. The next prime is 8832238501. The reversal of 8832238464 is 4648322388.

It is a super-2 number, since 2×8832238464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

8832238464 is a modest number, since divided by 238464 gives 8832 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85749837 + ... + 85749939.

It is an arithmetic number, because the mean of its divisors is an integer number (58874400).

Almost surely, 2^8832238464 is an apocalyptic number.

8832238464 is a gapful number since it is divisible by the number (84) 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 8832238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071846400).

8832238464 is an abundant number, since it is smaller than the sum of its proper divisors (21311454336).

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

8832238464 is a wasteful number, since it uses less digits than its factorization.

8832238464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 8832238464 is about 93979.9896999356. The cubic root of 8832238464 is about 2067.0783043153.

The spelling of 8832238464 in words is "eight billion, eight hundred thirty-two million, two hundred thirty-eight thousand, four hundred sixty-four".