9829248 has 128 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 2734080.

The previous prime is 9829243. The next prime is 9829273. The reversal of 9829248 is 8429289.

9829248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9829248² = 193228232491008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9829243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54823 + ... + 55001.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 2^9829248 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 9829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

9829248 is an abundant number, since it is smaller than the sum of its proper divisors (21015552).

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

9829248 is a wasteful number, since it uses less digits than its factorization.

9829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 9829248 is about 3135.1631536493. The cubic root of 9829248 is about 214.2101757875.

The spelling of 9829248 in words is "nine million, eight hundred twenty-nine thousand, two hundred forty-eight".