86028 has 24 divisors (see below), whose sum is σ = 205632. Its totient is φ = 27984.

The previous prime is 86027. The next prime is 86029. The reversal of 86028 is 82068.

It is an interprime number because it is at equal distance from previous prime (86027) and next prime (86029).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 85989 and 86007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2⁸⁶⁰²⁸ is an apocalyptic number.

It is an amenable number.

86028 is an abundant number, since it is smaller than the sum of its proper divisors (119604).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816).

86028 is a wasteful number, since it uses less digits than its factorization.

86028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 86028 is about 293.3053016909. The cubic root of 86028 is about 44.1448394976.

It can be divided in two parts, 860 and 28, that added together give a palindrome (888).

The spelling of 86028 in words is "eighty-six thousand, twenty-eight".