86929933728 has 192 divisors, whose sum is σ = 260251149312. Its totient is φ = 25149358080.

The previous prime is 86929933723. The next prime is 86929933729. The reversal of 86929933728 is 82733992968.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (86929933723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14011075 + ... + 14017277.

It is an arithmetic number, because the mean of its divisors is an integer number (1355474736).

Almost surely, 2^86929933728 is an apocalyptic number.

86929933728 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 86929933728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130125574656).

86929933728 is an abundant number, since it is smaller than the sum of its proper divisors (173321215584).

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

86929933728 is a wasteful number, since it uses less digits than its factorization.

86929933728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6819 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 66.

The spelling of 86929933728 in words is "eighty-six billion, nine hundred twenty-nine million, nine hundred thirty-three thousand, seven hundred twenty-eight".