86428082468 has 72 divisors (see below), whose sum is σ = 195313926528. Its totient is φ = 32704708608.

The previous prime is 86428082443. The next prime is 86428082479.

It is a happy number.

86428082468 is nontrivially palindromic in base 10.

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, 288221 + ... + 505892.

It is an arithmetic number, because the mean of its divisors is an integer number (2712693424).

Almost surely, 2^86428082468 is an apocalyptic number.

It is an amenable number.

86428082468 is an abundant number, since it is smaller than the sum of its proper divisors (108885844060).

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

86428082468 is a wasteful number, since it uses less digits than its factorization.

86428082468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794173 (or 794158 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 86428082468 in words is "eighty-six billion, four hundred twenty-eight million, eighty-two thousand, four hundred sixty-eight".