828946944 has 240 divisors, whose sum is σ = 2825771520. Its totient is φ = 228925440.

The previous prime is 828946879. The next prime is 828946961. The reversal of 828946944 is 449649828.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999522 + ... + 1000350.

It is an arithmetic number, because the mean of its divisors is an integer number (11774048).

Almost surely, 2^828946944 is an apocalyptic number.

828946944 is a gapful number since it is divisible by the number (84) 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 828946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412885760).

828946944 is an abundant number, since it is smaller than the sum of its proper divisors (1996824576).

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

828946944 is a wasteful number, since it uses less digits than its factorization.

828946944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 872 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 828946944 is about 28791.4387275106. The cubic root of 828946944 is about 939.3820232728.

The spelling of 828946944 in words is "eight hundred twenty-eight million, nine hundred forty-six thousand, nine hundred forty-four".