828322848 has 144 divisors (see below), whose sum is σ = 2509678080. Its totient is φ = 268551936.

The previous prime is 828322813. The next prime is 828322871. The reversal of 828322848 is 848223828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×828322848² = 1372237481037662208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 286273 + ... + 289151.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^828322848 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 828322848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254839040).

828322848 is an abundant number, since it is smaller than the sum of its proper divisors (1681355232).

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

828322848 is a wasteful number, since it uses less digits than its factorization.

828322848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2921 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 828322848 is about 28780.5984649381. The cubic root of 828322848 is about 939.1462173676.

The spelling of 828322848 in words is "eight hundred twenty-eight million, three hundred twenty-two thousand, eight hundred forty-eight".