162828 has 18 divisors (see below), whose sum is σ = 411684. Its totient is φ = 54264.

The previous prime is 162823. The next prime is 162829. The reversal of 162828 is 828261.

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (162821) by changing a digit.

162828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2226 + ... + 2297.

2¹⁶²⁸²⁸ is an apocalyptic number.

162828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

162828 is an abundant number, since it is smaller than the sum of its proper divisors (248856).

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

162828 is a wasteful number, since it uses less digits than its factorization.

162828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4528 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 162828 is about 403.5195162566. The cubic root of 162828 is about 54.6063350537.

It can be divided in two parts, 16282 and 8, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 162828 in words is "one hundred sixty-two thousand, eight hundred twenty-eight".