827268348526728 has 128 divisors (see below), whose sum is σ = 2209971352723200. Its totient is φ = 257147920318464.

The previous prime is 827268348526723. The next prime is 827268348526757. The reversal of 827268348526728 is 827625843862728.

It is not an unprimeable number, because it can be changed into a prime (827268348526723) 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, 2060053576 + ... + 2060455112.

It is an arithmetic number, because the mean of its divisors is an integer number (17265401193150).

Almost surely, 2^{827268348526728} 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 827268348526728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104985676361600).

827268348526728 is an abundant number, since it is smaller than the sum of its proper divisors (1382703004196472).

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

827268348526728 is a wasteful number, since it uses less digits than its factorization.

827268348526728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447999 (or 447995 counting only the distinct ones).

The product of its digits is 6936330240, while the sum is 78.

The spelling of 827268348526728 in words is "eight hundred twenty-seven trillion, two hundred sixty-eight billion, three hundred forty-eight million, five hundred twenty-six thousand, seven hundred twenty-eight".