86237928 has 96 divisors (see below), whose sum is σ = 268220160. Its totient is φ = 24520320.

The previous prime is 86237927. The next prime is 86237929. The reversal of 86237928 is 82973268.

It is an interprime number because it is at equal distance from previous prime (86237927) and next prime (86237929).

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

It is not an unprimeable number, because it can be changed into a prime (86237927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199873 + ... + 200303.

It is an arithmetic number, because the mean of its divisors is an integer number (2793960).

Almost surely, 2^86237928 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 86237928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134110080).

86237928 is an abundant number, since it is smaller than the sum of its proper divisors (181982232).

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

86237928 is a wasteful number, since it uses less digits than its factorization.

86237928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 86237928 is about 9286.4378531275. The cubic root of 86237928 is about 441.8071816505.

The spelling of 86237928 in words is "eighty-six million, two hundred thirty-seven thousand, nine hundred twenty-eight".