9728959968 has 576 divisors, whose sum is σ = 35693199360. Its totient is φ = 2445520896.

The previous prime is 9728959943. The next prime is 9728959979. The reversal of 9728959968 is 8699598279.

It is a happy number.

9728959968 is a `hidden beast` number, since 9 + 7 + 28 + 9 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×9728959968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9728959896 and 9728959905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76605921 + ... + 76606047.

It is an arithmetic number, because the mean of its divisors is an integer number (61967360).

It is a vampire number, since it can be written as 98592 ⋅ 98679 (with its own digits).

Almost surely, 2^9728959968 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 9728959968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846599680).

9728959968 is an abundant number, since it is smaller than the sum of its proper divisors (25964239392).

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

9728959968 is a wasteful number, since it uses less digits than its factorization.

9728959968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The square root of 9728959968 is about 98635.4904078649. The cubic root of 9728959968 is about 2134.7915354232.

The spelling of 9728959968 in words is "nine billion, seven hundred twenty-eight million, nine hundred fifty-nine thousand, nine hundred sixty-eight".