827754457728 has 128 divisors (see below), whose sum is σ = 2402356501440. Its totient is φ = 250442547200.

The previous prime is 827754457721. The next prime is 827754457763.

827754457728 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (827754457721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2554726 + ... + 2860442.

Almost surely, 2^827754457728 is an apocalyptic number.

827754457728 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 827754457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201178250720).

827754457728 is an abundant number, since it is smaller than the sum of its proper divisors (1574602043712).

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

827754457728 is a wasteful number, since it uses less digits than its factorization.

827754457728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306386 (or 306374 counting only the distinct ones).

The product of its digits is 245862400, while the sum is 66.

The spelling of 827754457728 in words is "eight hundred twenty-seven billion, seven hundred fifty-four million, four hundred fifty-seven thousand, seven hundred twenty-eight".