827456654728 has 32 divisors (see below), whose sum is σ = 1692591809760. Its totient is φ = 376101809280.

The previous prime is 827456654723. The next prime is 827456654741.

827456654728 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 827456654728.

It is not an unprimeable number, because it can be changed into a prime (827456654723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2233675 + ... + 2577637.

It is an arithmetic number, because the mean of its divisors is an integer number (52893494055).

Almost surely, 2^827456654728 is an apocalyptic number.

827456654728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827456654728 is an abundant number, since it is smaller than the sum of its proper divisors (865135155032).

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

827456654728 is a wasteful number, since it uses less digits than its factorization.

827456654728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371317 (or 371313 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 64.

The spelling of 827456654728 in words is "eight hundred twenty-seven billion, four hundred fifty-six million, six hundred fifty-four thousand, seven hundred twenty-eight".