86292528 has 120 divisors (see below), whose sum is σ = 273107520. Its totient is φ = 23345280.

The previous prime is 86292457. The next prime is 86292541. The reversal of 86292528 is 82529268.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 86292528.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43723 + ... + 45653.

It is an arithmetic number, because the mean of its divisors is an integer number (2275896).

Almost surely, 2^86292528 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 86292528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136553760).

86292528 is an abundant number, since it is smaller than the sum of its proper divisors (186814992).

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

86292528 is a wasteful number, since it uses less digits than its factorization.

86292528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1962 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 86292528 is about 9289.3771588842. The cubic root of 86292528 is about 441.9004027483.

The spelling of 86292528 in words is "eighty-six million, two hundred ninety-two thousand, five hundred twenty-eight".