9728460 has 108 divisors (see below), whose sum is σ = 34358688. Its totient is φ = 2221632.

The previous prime is 9728443. The next prime is 9728489. The reversal of 9728460 is 648279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 8269 + ... + 9371.

It is an arithmetic number, because the mean of its divisors is an integer number (318136).

Almost surely, 2^9728460 is an apocalyptic number.

9728460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9728460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179344).

9728460 is an abundant number, since it is smaller than the sum of its proper divisors (24630228).

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

9728460 is a wasteful number, since it uses less digits than its factorization.

9728460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9728460 is about 3119.0479316612. The cubic root of 9728460 is about 213.4754966056.

It can be divided in two parts, 97284 and 60, that added together give a square (97344 = 312²).

The spelling of 9728460 in words is "nine million, seven hundred twenty-eight thousand, four hundred sixty".