9289728 has 150 divisors (see below), whose sum is σ = 31718456. Its totient is φ = 2654208.

The previous prime is 9289663. The next prime is 9289733. The reversal of 9289728 is 8279829.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (145152) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327101 + ... + 1327107.

Almost surely, 2^9289728 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 9289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859228).

9289728 is an abundant number, since it is smaller than the sum of its proper divisors (22428728).

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

9289728 is an frugal number, since it uses more digits than its factorization.

9289728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 12 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 9289728 is about 3047.9055103464. The cubic root of 9289728 is about 210.2169187146.

Subtracting from 9289728 its product of digits (145152), we obtain a square (9144576 = 3024²).

Multiplying 9289728 by its product of digits (145152), we get a square (1348422598656 = 1161216²).

9289728 divided by its product of digits (145152) gives a 6-th power (64 = 2⁶).

The spelling of 9289728 in words is "nine million, two hundred eighty-nine thousand, seven hundred twenty-eight".