7972328448 has 528 divisors, whose sum is σ = 28612147200. Its totient is φ = 2167824384.

The previous prime is 7972328411. The next prime is 7972328453. The reversal of 7972328448 is 8448232797.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 7972328394 and 7972328403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40061853 + ... + 40062051.

Almost surely, 2^7972328448 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 7972328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306073600).

7972328448 is an abundant number, since it is smaller than the sum of its proper divisors (20639818752).

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

7972328448 is a wasteful number, since it uses less digits than its factorization.

7972328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 7972328448 is about 89287.8964249914. The cubic root of 7972328448 is about 1997.6913734805.

The spelling of 7972328448 in words is "seven billion, nine hundred seventy-two million, three hundred twenty-eight thousand, four hundred forty-eight".