86328 has 48 divisors (see below), whose sum is σ = 257400. Its totient is φ = 25920.

The previous prime is 86323. The next prime is 86341. The reversal of 86328 is 82368.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738 + ... + 846.

2⁸⁶³²⁸ is an apocalyptic number.

86328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128700).

86328 is an abundant number, since it is smaller than the sum of its proper divisors (171072).

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

86328 is a wasteful number, since it uses less digits than its factorization.

86328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 86328 is about 293.8162691207. The cubic root of 86328 is about 44.1960944660.

It can be divided in two parts, 86 and 328, that added together give a palindrome (414).

The spelling of 86328 in words is "eighty-six thousand, three hundred twenty-eight".