827662266728 has 64 divisors (see below), whose sum is σ = 1696135921920. Its totient is φ = 375501772800.

The previous prime is 827662266719. The next prime is 827662266791.

It is a happy number.

827662266728 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223872176 + ... + 223875872.

It is an arithmetic number, because the mean of its divisors is an integer number (26502123780).

Almost surely, 2^827662266728 is an apocalyptic number.

827662266728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827662266728 is an abundant number, since it is smaller than the sum of its proper divisors (868473655192).

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

827662266728 is a wasteful number, since it uses less digits than its factorization.

827662266728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7814 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 62.

The spelling of 827662266728 in words is "eight hundred twenty-seven billion, six hundred sixty-two million, two hundred sixty-six thousand, seven hundred twenty-eight".