219328 has 28 divisors (see below), whose sum is σ = 457200. Its totient is φ = 104192.

The previous prime is 219313. The next prime is 219353. The reversal of 219328 is 823912.

219328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8.

It is an unprimeable number.

219328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1398 + ... + 1546.

2²¹⁹³²⁸ 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 219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228600).

219328 is an abundant number, since it is smaller than the sum of its proper divisors (237872).

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

219328 is a wasteful number, since it uses less digits than its factorization.

219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 219328 is about 468.3246737040. The cubic root of 219328 is about 60.3065789690.

The spelling of 219328 in words is "two hundred nineteen thousand, three hundred twenty-eight".