827989989728 has 48 divisors (see below), whose sum is σ = 1871891259840. Its totient is φ = 356550710400.

The previous prime is 827989989691. The next prime is 827989989737.

827989989728 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 827989989728.

It is a congruent number.

It is an unprimeable number.

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, 61894478 + ... + 61907853.

It is an arithmetic number, because the mean of its divisors is an integer number (38997734580).

Almost surely, 2^827989989728 is an apocalyptic number.

827989989728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827989989728 is an abundant number, since it is smaller than the sum of its proper divisors (1043901270112).

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

827989989728 is a wasteful number, since it uses less digits than its factorization.

827989989728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123802371 (or 123802363 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 86.

The spelling of 827989989728 in words is "eight hundred twenty-seven billion, nine hundred eighty-nine million, nine hundred eighty-nine thousand, seven hundred twenty-eight".