9829728 has 96 divisors (see below), whose sum is σ = 29675520. Its totient is φ = 3162240.

The previous prime is 9829711. The next prime is 9829739. The reversal of 9829728 is 8279289.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×9829728⁴ (a number of 29 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 26601 + ... + 26967.

It is an arithmetic number, because the mean of its divisors is an integer number (309120).

Almost surely, 2^9829728 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 9829728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837760).

9829728 is an abundant number, since it is smaller than the sum of its proper divisors (19845792).

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

9829728 is a wasteful number, since it uses less digits than its factorization.

9829728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

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

The square root of 9829728 is about 3135.2397037547. The cubic root of 9829728 is about 214.2136626331.

The spelling of 9829728 in words is "nine million, eight hundred twenty-nine thousand, seven hundred twenty-eight".