86828 has 18 divisors (see below), whose sum is σ = 177156. Its totient is φ = 37128.

The previous prime is 86813. The next prime is 86837. The reversal of 86828 is 82868.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 86794 and 86803.

It is an unprimeable number.

86828 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, 26 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (9842).

2⁸⁶⁸²⁸ is an apocalyptic number.

It is an amenable number.

86828 is an abundant number, since it is smaller than the sum of its proper divisors (90328).

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

86828 is a wasteful number, since it uses less digits than its factorization.

86828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 86828 is about 294.6659125179. The cubic root of 86828 is about 44.2812561788.

The spelling of 86828 in words is "eighty-six thousand, eight hundred twenty-eight".