219128 has 48 divisors (see below), whose sum is σ = 526680. Its totient is φ = 84672.

The previous prime is 219119. The next prime is 219133. The reversal of 219128 is 821912.

219128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 219128.

It is an unprimeable number.

219128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5075 + ... + 5117.

2²¹⁹¹²⁸ is an apocalyptic number.

219128 is a gapful number since it is divisible by the number (28) 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 219128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263340).

219128 is an abundant number, since it is smaller than the sum of its proper divisors (307552).

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

219128 is a wasteful number, since it uses less digits than its factorization.

219128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 219128 is about 468.1110979244. Note that the first 3 decimals coincide. The cubic root of 219128 is about 60.2882426815.

The spelling of 219128 in words is "two hundred nineteen thousand, one hundred twenty-eight".