9728607 has 36 divisors (see below), whose sum is σ = 16099080. Its totient is φ = 5209344.

The previous prime is 9728597. The next prime is 9728611. The reversal of 9728607 is 7068279.

It is not a de Polignac number, because 9728607 - 2⁴ = 9728591 is a prime.

9728607 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9728617) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 42369 + ... + 42597.

Almost surely, 2^9728607 is an apocalyptic number.

9728607 is a deficient number, since it is larger than the sum of its proper divisors (6370473).

9728607 is a wasteful number, since it uses less digits than its factorization.

9728607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 9728607 is about 3119.0714964553. The cubic root of 9728607 is about 213.4765718268.

The spelling of 9728607 in words is "nine million, seven hundred twenty-eight thousand, six hundred seven".