86681828728 has 128 divisors (see below), whose sum is σ = 189378259200. Its totient is φ = 36782208000.

The previous prime is 86681828707. The next prime is 86681828729. The reversal of 86681828728 is 82782818668.

It is a self number, because there is not a number n which added to its sum of digits gives 86681828728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86681828729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39346075 + ... + 39348277.

It is an arithmetic number, because the mean of its divisors is an integer number (1479517650).

Almost surely, 2^86681828728 is an apocalyptic number.

86681828728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86681828728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94689129600).

86681828728 is an abundant number, since it is smaller than the sum of its proper divisors (102696430472).

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

86681828728 is a wasteful number, since it uses less digits than its factorization.

86681828728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2569 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 64.

The spelling of 86681828728 in words is "eighty-six billion, six hundred eighty-one million, eight hundred twenty-eight thousand, seven hundred twenty-eight".