9349728960 has 560 divisors, whose sum is σ = 36214336512. Its totient is φ = 2024755200.

The previous prime is 9349728923. The next prime is 9349729001. The reversal of 9349728960 is 698279439.

It is a self number, because there is not a number n which added to its sum of digits gives 9349728960.

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 79 ways as a sum of consecutive naturals, for example, 301604145 + ... + 301604175.

Almost surely, 2^9349728960 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 9349728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107168256).

9349728960 is an abundant number, since it is smaller than the sum of its proper divisors (26864607552).

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

9349728960 is a wasteful number, since it uses less digits than its factorization.

9349728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The square root of 9349728960 is about 96693.9965044366. The cubic root of 9349728960 is about 2106.6853431733.

The spelling of 9349728960 in words is "nine billion, three hundred forty-nine million, seven hundred twenty-eight thousand, nine hundred sixty".