8239325952 has 432 divisors, whose sum is σ = 26931744000. Its totient is φ = 2214051840.

The previous prime is 8239325951. The next prime is 8239325971. The reversal of 8239325952 is 2595239328.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8239325951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41403549 + ... + 41403747.

It is an arithmetic number, because the mean of its divisors is an integer number (62342000).

Almost surely, 2^8239325952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8239325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465872000).

8239325952 is an abundant number, since it is smaller than the sum of its proper divisors (18692418048).

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

8239325952 is a wasteful number, since it uses less digits than its factorization.

8239325952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 8239325952 is about 90770.7329043894. The cubic root of 8239325952 is about 2019.7481919884.

It can be divided in two parts, 82393 and 25952, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 8239325952 in words is "eight billion, two hundred thirty-nine million, three hundred twenty-five thousand, nine hundred fifty-two".