9828864 has 120 divisors (see below), whose sum is σ = 29789760. Its totient is φ = 3234816.

The previous prime is 9828859. The next prime is 9828877. The reversal of 9828864 is 4688289.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124377 + ... + 124455.

It is an arithmetic number, because the mean of its divisors is an integer number (248248).

Almost surely, 2^9828864 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 9828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880).

9828864 is an abundant number, since it is smaller than the sum of its proper divisors (19960896).

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

9828864 is an frugal number, since it uses more digits than its factorization.

9828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 9828864 is about 3135.1019122191. The cubic root of 9828864 is about 214.2073862293.

The spelling of 9828864 in words is "nine million, eight hundred twenty-eight thousand, eight hundred sixty-four".