18382848 has 128 divisors (see below), whose sum is σ = 56622240. Its totient is φ = 5242880.

The previous prime is 18382843. The next prime is 18382849. The reversal of 18382848 is 84828381.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×18382848² = 675858201182208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18382841) 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, 1081336 + ... + 1081352.

Almost surely, 2^18382848 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 18382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28311120).

18382848 is an abundant number, since it is smaller than the sum of its proper divisors (38239392).

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

18382848 is an equidigital number, since it uses as much as digits as its factorization.

18382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 33 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 18382848 is about 4287.5223614577. The cubic root of 18382848 is about 263.9191671719.

The spelling of 18382848 in words is "eighteen million, three hundred eighty-two thousand, eight hundred forty-eight".