9730728 has 96 divisors (see below), whose sum is σ = 30888000. Its totient is φ = 2709504.

The previous prime is 9730727. The next prime is 9730729. The reversal of 9730728 is 8270379.

It is an interprime number because it is at equal distance from previous prime (9730727) and next prime (9730729).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 9730692 and 9730701.

It is not an unprimeable number, because it can be changed into a prime (9730723) 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 23 ways as a sum of consecutive naturals, for example, 21448 + ... + 21896.

It is an arithmetic number, because the mean of its divisors is an integer number (321750).

Almost surely, 2^9730728 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 9730728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444000).

9730728 is an abundant number, since it is smaller than the sum of its proper divisors (21157272).

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

9730728 is a wasteful number, since it uses less digits than its factorization.

9730728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 9730728 is about 3119.4114829564. The cubic root of 9730728 is about 213.4920845276.

The spelling of 9730728 in words is "nine million, seven hundred thirty thousand, seven hundred twenty-eight".