18448128 has 144 divisors (see below), whose sum is σ = 58131360. Its totient is φ = 5750784.

The previous prime is 18448109. The next prime is 18448153. The reversal of 18448128 is 82184481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 18448092 and 18448101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117426 + ... + 117582.

It is an arithmetic number, because the mean of its divisors is an integer number (403690).

Almost surely, 2^18448128 is an apocalyptic number.

18448128 is a gapful number since it is divisible by the number (18) 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 18448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29065680).

18448128 is an abundant number, since it is smaller than the sum of its proper divisors (39683232).

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

18448128 is a wasteful number, since it uses less digits than its factorization.

18448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 18448128 is about 4295.1284032029. The cubic root of 18448128 is about 264.2312024202.

The spelling of 18448128 in words is "eighteen million, four hundred forty-eight thousand, one hundred twenty-eight".