9728160 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2393088.

The previous prime is 9728153. The next prime is 9728167. The reversal of 9728160 is 618279.

It is a Cunningham number, because it is equal to 3119²-1.

It is an interprime number because it is at equal distance from previous prime (9728153) and next prime (9728167).

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

It is not an unprimeable number, because it can be changed into a prime (9728167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5461 + ... + 7019.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 2^9728160 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 9728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

9728160 is an abundant number, since it is smaller than the sum of its proper divisors (23293920).

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

9728160 is a wasteful number, since it uses less digits than its factorization.

9728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 9728160 is about 3118.9998396922. Note that the first 3 decimals coincide. The cubic root of 9728160 is about 213.4733022429.

The spelling of 9728160 in words is "nine million, seven hundred twenty-eight thousand, one hundred sixty".