173328 has 40 divisors (see below), whose sum is σ = 470208. Its totient is φ = 54912.

The previous prime is 173309. The next prime is 173347. The reversal of 173328 is 823371.

It is an interprime number because it is at equal distance from previous prime (173309) and next prime (173347).

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 = 173298 and 173307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1026 + ... + 1182.

2¹⁷³³²⁸ 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 173328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235104).

173328 is an abundant number, since it is smaller than the sum of its proper divisors (296880).

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

173328 is a wasteful number, since it uses less digits than its factorization.

173328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 173328 is about 416.3267947178. The cubic root of 173328 is about 55.7557388503.

Adding to 173328 its reverse (823371), we get a palindrome (996699).

The spelling of 173328 in words is "one hundred seventy-three thousand, three hundred twenty-eight".