827864468728 has 64 divisors (see below), whose sum is σ = 1780897259520. Its totient is φ = 357106780800.

The previous prime is 827864468713. The next prime is 827864468729.

827864468728 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827864468729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353283 + ... + 1867378.

It is an arithmetic number, because the mean of its divisors is an integer number (27826519680).

Almost surely, 2^827864468728 is an apocalyptic number.

827864468728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827864468728 is an abundant number, since it is smaller than the sum of its proper divisors (953032790792).

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

827864468728 is a wasteful number, since it uses less digits than its factorization.

827864468728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220828 (or 3220824 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 70.

The spelling of 827864468728 in words is "eight hundred twenty-seven billion, eight hundred sixty-four million, four hundred sixty-eight thousand, seven hundred twenty-eight".