18928 has 30 divisors (see below), whose sum is σ = 45384. Its totient is φ = 7488.

The previous prime is 18919. The next prime is 18947. The reversal of 18928 is 82981.

18928 = 7² + 8² + ... + 38².

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 6.

It is a nialpdrome in base 13.

It is a zygodrome in base 6 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 18896 and 18905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1450 + ... + 1462.

2¹⁸⁹²⁸ 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 18928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22692).

18928 is an abundant number, since it is smaller than the sum of its proper divisors (26456).

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

18928 is a wasteful number, since it uses less digits than its factorization.

18928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 22 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 18928 is about 137.5790681754. The cubic root of 18928 is about 26.6502676951.

Multiplying 18928 by its sum of digits (28), we get a square (529984 = 728²).

18928 divided by its sum of digits (28) gives a palindrome (676).

It can be divided in two parts, 18 and 928, that added together give a triangular number (946 = T₄₃).

The spelling of 18928 in words is "eighteen thousand, nine hundred twenty-eight".