173628 has 72 divisors (see below), whose sum is σ = 550368. Its totient is φ = 44928.

The previous prime is 173617. The next prime is 173629. The reversal of 173628 is 826371.

173628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3250 + ... + 3302.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2¹⁷³⁶²⁸ is an apocalyptic number.

173628 is a gapful number since it is divisible by the number (18) 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 173628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

173628 is an abundant number, since it is smaller than the sum of its proper divisors (376740).

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

173628 is a wasteful number, since it uses less digits than its factorization.

173628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 173628 is about 416.6869328405. The cubic root of 173628 is about 55.7878880715.

Adding to 173628 its reverse (826371), we get a palindrome (999999).

It can be divided in two parts, 1736 and 28, that added together give a square (1764 = 42²).

The spelling of 173628 in words is "one hundred seventy-three thousand, six hundred twenty-eight".