86428500 has 96 divisors (see below), whose sum is σ = 253972992. Its totient is φ = 22838400.

The previous prime is 86428499. The next prime is 86428543. The reversal of 86428500 is 582468.

It is a super-2 number, since 2×86428500² = 14939771224500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 235317 + ... + 235683.

It is an arithmetic number, because the mean of its divisors is an integer number (2645552).

Almost surely, 2^86428500 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 86428500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126986496).

86428500 is an abundant number, since it is smaller than the sum of its proper divisors (167544492).

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

86428500 is a wasteful number, since it uses less digits than its factorization.

86428500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 86428500 is about 9296.6929604026. The cubic root of 86428500 is about 442.1323832421.

The spelling of 86428500 in words is "eighty-six million, four hundred twenty-eight thousand, five hundred".