86133528 has 96 divisors (see below), whose sum is σ = 262211040. Its totient is φ = 25344000.

The previous prime is 86133511. The next prime is 86133529. The reversal of 86133528 is 82533168.

86133528 is a `hidden beast` number, since 8 + 613 + 35 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86133492 and 86133501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86133529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19528 + ... + 23528.

It is an arithmetic number, because the mean of its divisors is an integer number (2731365).

Almost surely, 2^86133528 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 86133528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131105520).

86133528 is an abundant number, since it is smaller than the sum of its proper divisors (176077512).

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

86133528 is a wasteful number, since it uses less digits than its factorization.

86133528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4042 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 86133528 is about 9280.8150504145. The cubic root of 86133528 is about 441.6288251112.

The spelling of 86133528 in words is "eighty-six million, one hundred thirty-three thousand, five hundred twenty-eight".