9971928064 has 132 divisors (see below), whose sum is σ = 23295662424. Its totient is φ = 4254007296.

The previous prime is 9971928041. The next prime is 9971928079. The reversal of 9971928064 is 4608291799.

It is a junction number, because it is equal to n+sod(n) for n = 9971927996 and 9971928014.

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 11 ways as a sum of consecutive naturals, for example, 17711847 + ... + 17712409.

Almost surely, 2^9971928064 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 9971928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11647831212).

9971928064 is an abundant number, since it is smaller than the sum of its proper divisors (13323734360).

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

9971928064 is a wasteful number, since it uses less digits than its factorization.

9971928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The square root of 9971928064 is about 99859.5416772979. The cubic root of 9971928064 is about 2152.4168289189.

The spelling of 9971928064 in words is "nine billion, nine hundred seventy-one million, nine hundred twenty-eight thousand, sixty-four".