827997799728 has 240 divisors, whose sum is σ = 2453089242240. Its totient is φ = 238644172800.

The previous prime is 827997799723. The next prime is 827997799729.

It is a happy number.

827997799728 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (827997799723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49988568 + ... + 50005128.

It is an arithmetic number, because the mean of its divisors is an integer number (10221205176).

Almost surely, 2^827997799728 is an apocalyptic number.

827997799728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827997799728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226544621120).

827997799728 is an abundant number, since it is smaller than the sum of its proper divisors (1625091442512).

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

827997799728 is a wasteful number, since it uses less digits than its factorization.

827997799728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16808 (or 16779 counting only the distinct ones).

The product of its digits is 4032758016, while the sum is 84.

The spelling of 827997799728 in words is "eight hundred twenty-seven billion, nine hundred ninety-seven million, seven hundred ninety-nine thousand, seven hundred twenty-eight".