7982317728 has 432 divisors, whose sum is σ = 29216835648. Its totient is φ = 2022451200.

The previous prime is 7982317723. The next prime is 7982317747. The reversal of 7982317728 is 8277132897.

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

It is not an unprimeable number, because it can be changed into a prime (7982317723) 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 71 ways as a sum of consecutive naturals, for example, 10488868 + ... + 10489628.

It is an arithmetic number, because the mean of its divisors is an integer number (67631564).

Almost surely, 2^7982317728 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 7982317728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608417824).

7982317728 is an abundant number, since it is smaller than the sum of its proper divisors (21234517920).

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

7982317728 is a wasteful number, since it uses less digits than its factorization.

7982317728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 827 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 7982317728 is about 89343.8175141403. The cubic root of 7982317728 is about 1998.5253903638.

The spelling of 7982317728 in words is "seven billion, nine hundred eighty-two million, three hundred seventeen thousand, seven hundred twenty-eight".