9685728 has 108 divisors (see below), whose sum is σ = 29975400. Its totient is φ = 2965248.

The previous prime is 9685727. The next prime is 9685757. The reversal of 9685728 is 8275869.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9685723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48573 + ... + 48771.

It is an arithmetic number, because the mean of its divisors is an integer number (277550).

Almost surely, 2^9685728 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 9685728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987700).

9685728 is an abundant number, since it is smaller than the sum of its proper divisors (20289672).

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

9685728 is a wasteful number, since it uses less digits than its factorization.

9685728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 9685728 is about 3112.1902255486. The cubic root of 9685728 is about 213.1624760453.

The spelling of 9685728 in words is "nine million, six hundred eighty-five thousand, seven hundred twenty-eight".