9828216 has 80 divisors (see below), whose sum is σ = 28531800. Its totient is φ = 3157056.

The previous prime is 9828211. The next prime is 9828223. The reversal of 9828216 is 6128289.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9828211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18531 + ... + 19053.

Almost surely, 2^9828216 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 9828216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265900).

9828216 is an abundant number, since it is smaller than the sum of its proper divisors (18703584).

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

9828216 is a wasteful number, since it uses less digits than its factorization.

9828216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 9828216 is about 3134.9985645930. The cubic root of 9828216 is about 214.2026786850.

The spelling of 9828216 in words is "nine million, eight hundred twenty-eight thousand, two hundred sixteen".