7972367328 has 192 divisors, whose sum is σ = 24928223040. Its totient is φ = 2500761600.

The previous prime is 7972367323. The next prime is 7972367363. The reversal of 7972367328 is 8237632797.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972367323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1186378 + ... + 1193078.

It is an arithmetic number, because the mean of its divisors is an integer number (129834495).

Almost surely, 2^7972367328 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 7972367328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464111520).

7972367328 is an abundant number, since it is smaller than the sum of its proper divisors (16955855712).

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

7972367328 is an equidigital number, since it uses as much as digits as its factorization.

7972367328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6723 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 7972367328 is about 89288.1141474049. The cubic root of 7972367328 is about 1997.6946209681.

The spelling of 7972367328 in words is "seven billion, nine hundred seventy-two million, three hundred sixty-seven thousand, three hundred twenty-eight".