18428320 has 48 divisors (see below), whose sum is σ = 43885800. Its totient is φ = 7312384.

The previous prime is 18428297. The next prime is 18428321. The reversal of 18428320 is 2382481.

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 12138256 = 2508^2 + 3484^2 .

It is not an unprimeable number, because it can be changed into a prime (18428321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23454 + ... + 24226.

Almost surely, 2^18428320 is an apocalyptic number.

18428320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21942900).

18428320 is an abundant number, since it is smaller than the sum of its proper divisors (25457480).

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

18428320 is a wasteful number, since it uses less digits than its factorization.

18428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 18428320 is about 4292.8219157100. The cubic root of 18428320 is about 264.1365990362.

The spelling of 18428320 in words is "eighteen million, four hundred twenty-eight thousand, three hundred twenty".