163328 has 40 divisors (see below), whose sum is σ = 368280. Its totient is φ = 71680.

The previous prime is 163327. The next prime is 163337. The reversal of 163328 is 823361.

It is an Ulam number.

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 163328.

It is not an unprimeable number, because it can be changed into a prime (163321) by changing a digit.

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, 5618 + ... + 5646.

It is an arithmetic number, because the mean of its divisors is an integer number (9207).

2¹⁶³³²⁸ 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 163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184140).

163328 is an abundant number, since it is smaller than the sum of its proper divisors (204952).

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

163328 is an equidigital number, since it uses as much as digits as its factorization.

163328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 42 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 163328 is about 404.1385900901. The cubic root of 163328 is about 54.6621716180.

Adding to 163328 its reverse (823361), we get a palindrome (986689).

It can be divided in two parts, 1633 and 28, that added together give a palindrome (1661).

The spelling of 163328 in words is "one hundred sixty-three thousand, three hundred twenty-eight".