218000128 has 36 divisors (see below), whose sum is σ = 439684840. Its totient is φ = 107864064.

The previous prime is 218000099. The next prime is 218000143. The reversal of 218000128 is 821000812.

218000128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 218000099 and 218000108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20443 + ... + 29221.

Almost surely, 2^218000128 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 218000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219842420).

218000128 is an abundant number, since it is smaller than the sum of its proper divisors (221684712).

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

218000128 is an frugal number, since it uses more digits than its factorization.

218000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 218000128 is about 14764.8273948597. The cubic root of 218000128 is about 601.8462832731.

The spelling of 218000128 in words is "two hundred eighteen million, one hundred twenty-eight", and thus it is an aban number.