203328 has 42 divisors (see below), whose sum is σ = 584454. Its totient is φ = 67584.

The previous prime is 203323. The next prime is 203339. The reversal of 203328 is 823302.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 36864 = 408^2 + 192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 203328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203321) by changing a digit.

203328 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 5 ways as a sum of consecutive naturals, for example, 400 + ... + 752.

2²⁰³³²⁸ 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 203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292227).

203328 is an abundant number, since it is smaller than the sum of its proper divisors (381126).

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

203328 is a wasteful number, since it uses less digits than its factorization.

203328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 203328 is about 450.9190614733. The cubic root of 203328 is about 58.8029430708.

The spelling of 203328 in words is "two hundred three thousand, three hundred twenty-eight".