167728 has 20 divisors (see below), whose sum is σ = 354888. Its totient is φ = 76160.

The previous prime is 167711. The next prime is 167729. The reversal of 167728 is 827761.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 167728.

It is not an unprimeable number, because it can be changed into a prime (167729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301 + ... + 652.

2¹⁶⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

167728 is an abundant number, since it is smaller than the sum of its proper divisors (187160).

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

167728 is a wasteful number, since it uses less digits than its factorization.

167728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 167728 is about 409.5460902023. The cubic root of 167728 is about 55.1486885779.

It can be divided in two parts, 16 and 7728, that added together give a square (7744 = 88²).

The spelling of 167728 in words is "one hundred sixty-seven thousand, seven hundred twenty-eight".