7928368128 has 220 divisors, whose sum is σ = 24079139392. Its totient is φ = 2597806080.

The previous prime is 7928368121. The next prime is 7928368163. The reversal of 7928368128 is 8218638297.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (7928368121) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5058801 + ... + 5060367.

Almost surely, 2^7928368128 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 7928368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039569696).

7928368128 is an abundant number, since it is smaller than the sum of its proper divisors (16150771264).

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

7928368128 is a wasteful number, since it uses less digits than its factorization.

7928368128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1633 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 7928368128 is about 89041.3843558151. The cubic root of 7928368128 is about 1994.0127717677.

The spelling of 7928368128 in words is "seven billion, nine hundred twenty-eight million, three hundred sixty-eight thousand, one hundred twenty-eight".