9728106560 has 28 divisors (see below), whose sum is σ = 23165054508. Its totient is φ = 3891242496.

The previous prime is 9728106551. The next prime is 9728106569. The reversal of 9728106560 is 656018279.

It is an interprime number because it is at equal distance from previous prime (9728106551) and next prime (9728106569).

It can be written as a sum of positive squares in 2 ways, for example, as 5133435904 + 4594670656 = 71648^2 + 67784^2 .

It is not an unprimeable number, because it can be changed into a prime (9728106569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15199847 + ... + 15200486.

Almost surely, 2^9728106560 is an apocalyptic number.

It is an amenable number.

9728106560 is an abundant number, since it is smaller than the sum of its proper divisors (13436947948).

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

9728106560 is a wasteful number, since it uses less digits than its factorization.

9728106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30400350 (or 30400340 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 9728106560 is about 98631.1642433567. The cubic root of 9728106560 is about 2134.7291134908.

The spelling of 9728106560 in words is "nine billion, seven hundred twenty-eight million, one hundred six thousand, five hundred sixty".