86282728 has 48 divisors (see below), whose sum is σ = 191790180. Its totient is φ = 36271872.

The previous prime is 86282719. The next prime is 86282747. The reversal of 86282728 is 82728268.

It can be written as a sum of positive squares in 2 ways, for example, as 82047364 + 4235364 = 9058^2 + 2058^2 .

It is a super-2 number, since 2×86282728² = 14889418302243968, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18700 + ... + 22852.

Almost surely, 2^86282728 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 86282728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95895090).

86282728 is an abundant number, since it is smaller than the sum of its proper divisors (105507452).

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

86282728 is a wasteful number, since it uses less digits than its factorization.

86282728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4215 counting only the distinct ones).

The product of its digits is 172032, while the sum is 43.

The square root of 86282728 is about 9288.8496596726. The cubic root of 86282728 is about 441.8836736526.

The spelling of 86282728 in words is "eighty-six million, two hundred eighty-two thousand, seven hundred twenty-eight".