9728950 has 108 divisors (see below), whose sum is σ = 24236172. Its totient is φ = 2872800.

The previous prime is 9728941. The next prime is 9729017. The reversal of 9728950 is 598279.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 512041 + ... + 512059.

It is an arithmetic number, because the mean of its divisors is an integer number (224409).

Almost surely, 2^9728950 is an apocalyptic number.

9728950 is an abundant number, since it is smaller than the sum of its proper divisors (14507222).

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

9728950 is a wasteful number, since it uses less digits than its factorization.

9728950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 9728950 is about 3119.1264802826. The cubic root of 9728950 is about 213.4790806342.

It can be divided in two parts, 9728 and 950, that multiplied together give a square (9241600 = 3040²).

The spelling of 9728950 in words is "nine million, seven hundred twenty-eight thousand, nine hundred fifty".