8232552328 has 384 divisors, whose sum is σ = 22897365120. Its totient is φ = 2717245440.

The previous prime is 8232552299. The next prime is 8232552331.

8232552328 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50506375 + ... + 50506537.

It is an arithmetic number, because the mean of its divisors is an integer number (59628555).

Almost surely, 2^8232552328 is an apocalyptic number.

8232552328 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 8232552328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448682560).

8232552328 is an abundant number, since it is smaller than the sum of its proper divisors (14664812792).

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

8232552328 is a wasteful number, since it uses less digits than its factorization.

8232552328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 8232552328 is about 90733.4135145372. The cubic root of 8232552328 is about 2019.1945558570.

The spelling of 8232552328 in words is "eight billion, two hundred thirty-two million, five hundred fifty-two thousand, three hundred twenty-eight".