86185728 has 144 divisors (see below), whose sum is σ = 262531360. Its totient is φ = 27869184.

The previous prime is 86185711. The next prime is 86185747. The reversal of 86185728 is 82758168.

86185728 is a `hidden beast` number, since 8 + 618 + 5 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255576 + ... + 255912.

Almost surely, 2^86185728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131265680).

86185728 is an abundant number, since it is smaller than the sum of its proper divisors (176345632).

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

86185728 is a wasteful number, since it uses less digits than its factorization.

86185728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 86185728 is about 9283.6268774655. The cubic root of 86185728 is about 441.7180213850.

The spelling of 86185728 in words is "eighty-six million, one hundred eighty-five thousand, seven hundred twenty-eight".