827783929387728 has 30 divisors (see below), whose sum is σ = 2316645302384114. Its totient is φ = 275927976462528.

The previous prime is 827783929387711. The next prime is 827783929387733.

It is a happy number.

827783929387728 is a `hidden beast` number, since 8 + 2 + 7 + 78 + 3 + 92 + 9 + 387 + 72 + 8 = 666.

827783929387728 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 742753916334144 + 85030013053584 = 27253512^2 + 9221172^2 .

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2874249754675 + ... + 2874249754962.

Almost surely, 2^{827783929387728} is an apocalyptic number.

It is an amenable number.

827783929387728 is an abundant number, since it is smaller than the sum of its proper divisors (1488861372996386).

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

827783929387728 is a wasteful number, since it uses less digits than its factorization.

827783929387728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748499509651 (or 5748499509642 counting only the distinct ones).

The product of its digits is 57354780672, while the sum is 90.

The spelling of 827783929387728 in words is "eight hundred twenty-seven trillion, seven hundred eighty-three billion, nine hundred twenty-nine million, three hundred eighty-seven thousand, seven hundred twenty-eight".