18128 has 20 divisors (see below), whose sum is σ = 38688. Its totient is φ = 8160.
The previous prime is 18127. The next prime is 18131. The reversal of 18128 is 82181.
It is a nude number because it is divisible by every one of its digits.
It is a plaindrome in base 15.
It is a nialpdrome in base 8.
It is a zygodrome in base 15.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18121) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125 + ... + 227.
218128 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 18128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344).
18128 is an abundant number, since it is smaller than the sum of its proper divisors (20560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18128 is a wasteful number, since it uses less digits than its factorization.
18128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 122 (or 116 counting only the distinct ones).
The product of its digits is 128, while the sum is 20.
The square root of 18128 is about 134.6402614377. The cubic root of 18128 is about 26.2693885481.
It can be divided in two parts, 18 and 128, that multiplied together give a square (2304 = 482).
The spelling of 18128 in words is "eighteen thousand, one hundred twenty-eight".
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