9728665960 has 64 divisors (see below), whose sum is σ = 24386216400. Its totient is φ = 3468251136.

The previous prime is 9728665949. The next prime is 9728665967. The reversal of 9728665960 is 695668279.

It can be written as a sum of positive squares in 8 ways, for example, as 729108004 + 8999557956 = 27002^2 + 94866^2 .

It is a super-2 number, since 2×9728665960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 9728665895 and 9728665904.

It is not an unprimeable number, because it can be changed into a prime (9728665967) 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, 307489 + ... + 337648.

Almost surely, 2^9728665960 is an apocalyptic number.

It is an amenable number.

9728665960 is an abundant number, since it is smaller than the sum of its proper divisors (14657550440).

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

9728665960 is a wasteful number, since it uses less digits than its factorization.

9728665960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645190 (or 645186 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The square root of 9728665960 is about 98634.0000202770. Note that the first 4 decimals coincide. The cubic root of 9728665960 is about 2134.7700308255.

The spelling of 9728665960 in words is "nine billion, seven hundred twenty-eight million, six hundred sixty-five thousand, nine hundred sixty".