8232882328 has 64 divisors (see below), whose sum is σ = 17321351040. Its totient is φ = 3636000000.

The previous prime is 8232882293. The next prime is 8232882373.

8232882328 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901063 + ... + 910153.

It is an arithmetic number, because the mean of its divisors is an integer number (270646110).

Almost surely, 2^8232882328 is an apocalyptic number.

8232882328 is a gapful number since it is divisible by the number (88) 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 8232882328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660675520).

8232882328 is an abundant number, since it is smaller than the sum of its proper divisors (9088468712).

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

8232882328 is a wasteful number, since it uses less digits than its factorization.

8232882328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9400 (or 9396 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 8232882328 is about 90735.2320105041. The cubic root of 8232882328 is about 2019.2215351490.

The spelling of 8232882328 in words is "eight billion, two hundred thirty-two million, eight hundred eighty-two thousand, three hundred twenty-eight".