18224128 has 66 divisors (see below), whose sum is σ = 40321806. Its totient is φ = 8183808.

The previous prime is 18224117. The next prime is 18224149. The reversal of 18224128 is 82142281.

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 11505664 = 2592^2 + 3392^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 18224096 and 18224105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 492526 + ... + 492562.

Almost surely, 2^18224128 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 18224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160903).

18224128 is an abundant number, since it is smaller than the sum of its proper divisors (22097678).

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

18224128 is an equidigital number, since it uses as much as digits as its factorization.

18224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 18224128 is about 4268.9727101494. The cubic root of 18224128 is about 263.1573992636.

It can be divided in two parts, 182 and 24128, that added together give a triangular number (24310 = T₂₂₀).

The spelling of 18224128 in words is "eighteen million, two hundred twenty-four thousand, one hundred twenty-eight".