18986128 has 60 divisors (see below), whose sum is σ = 43602492. Its totient is φ = 7983360.

The previous prime is 18986117. The next prime is 18986129. The reversal of 18986128 is 82168981.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 13454224 = 2352^2 + 3668^2 .

It is not an unprimeable number, because it can be changed into a prime (18986129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47626 + ... + 48022.

Almost surely, 2^18986128 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 18986128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21801246).

18986128 is an abundant number, since it is smaller than the sum of its proper divisors (24616364).

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

18986128 is a wasteful number, since it uses less digits than its factorization.

18986128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its digits is 55296, while the sum is 43.

The square root of 18986128 is about 4357.3074254636. The cubic root of 18986128 is about 266.7752085917.

The spelling of 18986128 in words is "eighteen million, nine hundred eighty-six thousand, one hundred twenty-eight".