9828168 has 64 divisors (see below), whose sum is σ = 29568000. Its totient is φ = 2659392.

The previous prime is 9828167. The next prime is 9828179. The reversal of 9828168 is 8618289.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9828167) by changing a digit.

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, 1653 + ... + 4731.

It is an arithmetic number, because the mean of its divisors is an integer number (462000).

Almost surely, 2^9828168 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 9828168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784000).

9828168 is an abundant number, since it is smaller than the sum of its proper divisors (19739832).

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

9828168 is a wasteful number, since it uses less digits than its factorization.

9828168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3110 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 9828168 is about 3134.9909090777. The cubic root of 9828168 is about 214.2023299698.

The spelling of 9828168 in words is "nine million, eight hundred twenty-eight thousand, one hundred sixty-eight".