9281728 has 56 divisors (see below), whose sum is σ = 20574000. Its totient is φ = 4128768.

The previous prime is 9281689. The next prime is 9281737. The reversal of 9281728 is 8271829.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20448 + ... + 20896.

Almost surely, 2^9281728 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 9281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10287000).

9281728 is an abundant number, since it is smaller than the sum of its proper divisors (11292272).

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

9281728 is a wasteful number, since it uses less digits than its factorization.

9281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 9281728 is about 3046.5928510387. The cubic root of 9281728 is about 210.1565574808.

The spelling of 9281728 in words is "nine million, two hundred eighty-one thousand, seven hundred twenty-eight".