9728016768 has 96 divisors (see below), whose sum is σ = 28020236400. Its totient is φ = 3239562240.

The previous prime is 9728016733. The next prime is 9728016799. The reversal of 9728016768 is 8676108279.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 1412373 + ... + 1419243.

Almost surely, 2^9728016768 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 9728016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14010118200).

9728016768 is an abundant number, since it is smaller than the sum of its proper divisors (18292219632).

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

9728016768 is a wasteful number, since it uses less digits than its factorization.

9728016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 9728016768 is about 98630.7090514917. The cubic root of 9728016768 is about 2134.7225455053.

The spelling of 9728016768 in words is "nine billion, seven hundred twenty-eight million, sixteen thousand, seven hundred sixty-eight".