86728 has 16 divisors (see below), whose sum is σ = 167580. Its totient is φ = 42048.

The previous prime is 86719. The next prime is 86729. The reversal of 86728 is 82768.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 20164 = 258^2 + 142^2 .

Its product of digits (5376) is a multiple of the sum of its prime factors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 86728.

It is not an unprimeable number, because it can be changed into a prime (86729) by changing a digit.

86728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 150 + ... + 442.

2⁸⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

86728 is a deficient number, since it is larger than the sum of its proper divisors (80852).

86728 is a wasteful number, since it uses less digits than its factorization.

86728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 86728 is about 294.4961799413. The cubic root of 86728 is about 44.2642500415.

It can be divided in two parts, 8 and 6728, that multiplied together give a square (53824 = 232²).

The spelling of 86728 in words is "eighty-six thousand, seven hundred twenty-eight".