18013128 has 64 divisors (see below), whose sum is σ = 51840000. Its totient is φ = 5109312.

The previous prime is 18013123. The next prime is 18013141. The reversal of 18013128 is 82131081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 18013098 and 18013107.

It is not an unprimeable number, because it can be changed into a prime (18013123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29773 + ... + 30371.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 2^18013128 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 18013128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920000).

18013128 is an abundant number, since it is smaller than the sum of its proper divisors (33826872).

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

18013128 is a wasteful number, since it uses less digits than its factorization.

18013128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 18013128 is about 4244.1875547624. The cubic root of 18013128 is about 262.1378370730.

The spelling of 18013128 in words is "eighteen million, thirteen thousand, one hundred twenty-eight".