827244727442728 has 32 divisors (see below), whose sum is σ = 1783542532455360. Its totient is φ = 352358402745600.

The previous prime is 827244727442717. The next prime is 827244727442729.

827244727442728 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (827244727442729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45313571473 + ... + 45313589728.

It is an arithmetic number, because the mean of its divisors is an integer number (55735704139230).

Almost surely, 2^{827244727442728} is an apocalyptic number.

It is an amenable number.

827244727442728 is an abundant number, since it is smaller than the sum of its proper divisors (956297805012632).

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

827244727442728 is a wasteful number, since it uses less digits than its factorization.

827244727442728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90627161377 (or 90627161373 counting only the distinct ones).

The product of its digits is 1258815488, while the sum is 70.

The spelling of 827244727442728 in words is "eight hundred twenty-seven trillion, two hundred forty-four billion, seven hundred twenty-seven million, four hundred forty-two thousand, seven hundred twenty-eight".