18622128 has 80 divisors (see below), whose sum is σ = 57893120. Its totient is φ = 5038848.

The previous prime is 18622127. The next prime is 18622171. The reversal of 18622128 is 82122681.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18622095 and 18622104.

It is not an unprimeable number, because it can be changed into a prime (18622127) 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, 4926 + ... + 7842.

It is an arithmetic number, because the mean of its divisors is an integer number (723664).

Almost surely, 2^18622128 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 18622128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28946560).

18622128 is an abundant number, since it is smaller than the sum of its proper divisors (39270992).

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

18622128 is a wasteful number, since it uses less digits than its factorization.

18622128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2948 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 18622128 is about 4315.3363715938. The cubic root of 18622128 is about 265.0593340499.

The spelling of 18622128 in words is "eighteen million, six hundred twenty-two thousand, one hundred twenty-eight".