86187392928 has 480 divisors, whose sum is σ = 315268740864. Its totient is φ = 22490431488.

The previous prime is 86187392927. The next prime is 86187392983. The reversal of 86187392928 is 82929378168.

86187392928 is a `hidden beast` number, since 8 + 618 + 7 + 3 + 9 + 2 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86187392927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22877701 + ... + 22881467.

Almost surely, 2^86187392928 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 86187392928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157634370432).

86187392928 is an abundant number, since it is smaller than the sum of its proper divisors (229081347936).

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

86187392928 is a wasteful number, since it uses less digits than its factorization.

86187392928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3889 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 86187392928 in words is "eighty-six billion, one hundred eighty-seven million, three hundred ninety-two thousand, nine hundred twenty-eight".