86028768 has 144 divisors (see below), whose sum is σ = 282522240. Its totient is φ = 24323328.

The previous prime is 86028743. The next prime is 86028773. The reversal of 86028768 is 86782068.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 280071 + ... + 280377.

It is an arithmetic number, because the mean of its divisors is an integer number (1961960).

Almost surely, 2^86028768 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 86028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141261120).

86028768 is an abundant number, since it is smaller than the sum of its proper divisors (196493472).

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

86028768 is a wasteful number, since it uses less digits than its factorization.

86028768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 86028768 is about 9275.1694324147. The cubic root of 86028768 is about 441.4497086234.

The spelling of 86028768 in words is "eighty-six million, twenty-eight thousand, seven hundred sixty-eight".