9828224 has 48 divisors (see below), whose sum is σ = 22790880. Its totient is φ = 4209408.

The previous prime is 9828223. The next prime is 9828239. The reversal of 9828224 is 4228289.

9828224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3135²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9828223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5489 + ... + 7055.

It is an arithmetic number, because the mean of its divisors is an integer number (474810).

Almost surely, 2^9828224 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 9828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11395440).

9828224 is an abundant number, since it is smaller than the sum of its proper divisors (12962656).

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

9828224 is a wasteful number, since it uses less digits than its factorization.

9828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1576 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 9828224 is about 3134.9998405104. Note that the first 3 decimals coincide. The cubic root of 9828224 is about 214.2027368041.

The spelling of 9828224 in words is "nine million, eight hundred twenty-eight thousand, two hundred twenty-four".