828982546448 has 80 divisors (see below), whose sum is σ = 1884283564800. Its totient is φ = 353150429184.

The previous prime is 828982546433. The next prime is 828982546481. The reversal of 828982546448 is 844645289828.

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 15 ways as a sum of consecutive naturals, for example, 464240 + ... + 1368752.

It is an arithmetic number, because the mean of its divisors is an integer number (23553544560).

Almost surely, 2^828982546448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828982546448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942141782400).

828982546448 is an abundant number, since it is smaller than the sum of its proper divisors (1055301018352).

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

828982546448 is a wasteful number, since it uses less digits than its factorization.

828982546448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904709 (or 904689 counting only the distinct ones).

The product of its digits is 283115520, while the sum is 68.

The spelling of 828982546448 in words is "eight hundred twenty-eight billion, nine hundred eighty-two million, five hundred forty-six thousand, four hundred forty-eight".