7928648320 has 128 divisors (see below), whose sum is σ = 20820240000. Its totient is φ = 2873806848.

The previous prime is 7928648317. The next prime is 7928648417. The reversal of 7928648320 is 238468297.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 265506 + ... + 293854.

It is an arithmetic number, because the mean of its divisors is an integer number (162658125).

Almost surely, 2^7928648320 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 7928648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10410120000).

7928648320 is an abundant number, since it is smaller than the sum of its proper divisors (12891591680).

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

7928648320 is a wasteful number, since it uses less digits than its factorization.

7928648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28410 (or 28398 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 7928648320 is about 89042.9577226633. The cubic root of 7928648320 is about 1994.0362612524.

The spelling of 7928648320 in words is "seven billion, nine hundred twenty-eight million, six hundred forty-eight thousand, three hundred twenty".