167628 has 24 divisors (see below), whose sum is σ = 399280. Its totient is φ = 54720.

The previous prime is 167627. The next prime is 167633. The reversal of 167628 is 826761.

It is a happy number.

167628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 167595 and 167604.

It is not an unprimeable number, because it can be changed into a prime (167621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618 + ... + 846.

2¹⁶⁷⁶²⁸ is an apocalyptic number.

It is an amenable number.

167628 is an abundant number, since it is smaller than the sum of its proper divisors (231652).

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

167628 is a wasteful number, since it uses less digits than its factorization.

167628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 167628 is about 409.4239856188. The cubic root of 167628 is about 55.1377264543.

The spelling of 167628 in words is "one hundred sixty-seven thousand, six hundred twenty-eight".