18628128 has 72 divisors (see below), whose sum is σ = 53778816. Its totient is φ = 6115200.

The previous prime is 18628111. The next prime is 18628133. The reversal of 18628128 is 82182681.

18628128 is a `hidden beast` number, since 1 + 8 + 628 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 18628092 and 18628101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19993 + ... + 20903.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 2^18628128 is an apocalyptic number.

18628128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408).

18628128 is an abundant number, since it is smaller than the sum of its proper divisors (35150688).

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

18628128 is a wasteful number, since it uses less digits than its factorization.

18628128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 18628128 is about 4316.0315105430. The cubic root of 18628128 is about 265.0877981301.

The spelling of 18628128 in words is "eighteen million, six hundred twenty-eight thousand, one hundred twenty-eight".