828456768 has 56 divisors (see below), whose sum is σ = 2435514560. Its totient is φ = 276151680.

The previous prime is 828456749. The next prime is 828456787. The reversal of 828456768 is 867654828.

It is an interprime number because it is at equal distance from previous prime (828456749) and next prime (828456787).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 237988 + ... + 241443.

Almost surely, 2^828456768 is an apocalyptic number.

It is an amenable number.

828456768 is an abundant number, since it is smaller than the sum of its proper divisors (1607057792).

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

828456768 is a wasteful number, since it uses less digits than its factorization.

828456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479452 (or 479436 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 828456768 is about 28782.9249382338. The cubic root of 828456768 is about 939.1968271366.

The spelling of 828456768 in words is "eight hundred twenty-eight million, four hundred fifty-six thousand, seven hundred sixty-eight".