18742128 has 80 divisors (see below), whose sum is σ = 50833056. Its totient is φ = 5944320.

The previous prime is 18742123. The next prime is 18742133. The reversal of 18742128 is 82124781.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18742123) and next prime (18742133).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18742121) 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, 108250 + ... + 108422.

Almost surely, 2^18742128 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 18742128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25416528).

18742128 is an abundant number, since it is smaller than the sum of its proper divisors (32090928).

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

18742128 is a wasteful number, since it uses less digits than its factorization.

18742128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 18742128 is about 4329.2179432318. The cubic root of 18742128 is about 265.6274582102.

The spelling of 18742128 in words is "eighteen million, seven hundred forty-two thousand, one hundred twenty-eight".