168728 has 32 divisors (see below), whose sum is σ = 380160. Its totient is φ = 68640.

The previous prime is 168719. The next prime is 168731. The reversal of 168728 is 827861.

It is a junction number, because it is equal to n+sod(n) for n = 168694 and 168703.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1223 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2¹⁶⁸⁷²⁸ 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 168728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190080).

168728 is an abundant number, since it is smaller than the sum of its proper divisors (211432).

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

168728 is a wasteful number, since it uses less digits than its factorization.

168728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 168728 is about 410.7651397088. The cubic root of 168728 is about 55.2580709325.

The spelling of 168728 in words is "one hundred sixty-eight thousand, seven hundred twenty-eight".