18528224 has 48 divisors (see below), whose sum is σ = 42865200. Its totient is φ = 7772160.

The previous prime is 18528221. The next prime is 18528281. The reversal of 18528224 is 42282581.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18528221) 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 7 ways as a sum of consecutive naturals, for example, 2552 + ... + 6600.

It is an arithmetic number, because the mean of its divisors is an integer number (893025).

Almost surely, 2^18528224 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 18528224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21432600).

18528224 is an abundant number, since it is smaller than the sum of its proper divisors (24336976).

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

18528224 is a wasteful number, since it uses less digits than its factorization.

18528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4075 counting only the distinct ones).

The product of its digits is 10240, while the sum is 32.

The square root of 18528224 is about 4304.4423564499. The cubic root of 18528224 is about 264.6130533971.

The spelling of 18528224 in words is "eighteen million, five hundred twenty-eight thousand, two hundred twenty-four".