209328 has 60 divisors (see below), whose sum is σ = 636120. Its totient is φ = 59136.

The previous prime is 209327. The next prime is 209333. The reversal of 209328 is 823902.

209328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 209298 and 209307.

It is not an unprimeable number, because it can be changed into a prime (209327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2308 + ... + 2396.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2²⁰⁹³²⁸ is an apocalyptic number.

209328 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 209328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318060).

209328 is an abundant number, since it is smaller than the sum of its proper divisors (426792).

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

209328 is a wasteful number, since it uses less digits than its factorization.

209328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 209328 is about 457.5237698743. The cubic root of 209328 is about 59.3757499444.

The spelling of 209328 in words is "two hundred nine thousand, three hundred twenty-eight".