9385728 has 108 divisors (see below), whose sum is σ = 27728904. Its totient is φ = 2816000.

The previous prime is 9385721. The next prime is 9385741. The reversal of 9385728 is 8275839.

It is a self number, because there is not a number n which added to its sum of digits gives 9385728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9385721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92878 + ... + 92978.

Almost surely, 2^9385728 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 9385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13864452).

9385728 is an abundant number, since it is smaller than the sum of its proper divisors (18343176).

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

9385728 is a wasteful number, since it uses less digits than its factorization.

9385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 9385728 is about 3063.6135526531. The cubic root of 9385728 is about 210.9385654048.

It can be divided in two parts, 938 and 5728, that added together give a palindrome (6666).

The spelling of 9385728 in words is "nine million, three hundred eighty-five thousand, seven hundred twenty-eight".