86428992 has 112 divisors (see below), whose sum is σ = 254438912. Its totient is φ = 25712640.

The previous prime is 86428987. The next prime is 86428999. The reversal of 86428992 is 29982468.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86428999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76818 + ... + 77934.

It is an arithmetic number, because the mean of its divisors is an integer number (2271776).

Almost surely, 2^86428992 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 86428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127219456).

86428992 is an abundant number, since it is smaller than the sum of its proper divisors (168009920).

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

86428992 is a wasteful number, since it uses less digits than its factorization.

86428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 86428992 is about 9296.7194213873. The cubic root of 86428992 is about 442.1332221965.

The spelling of 86428992 in words is "eighty-six million, four hundred twenty-eight thousand, nine hundred ninety-two".