828226944 has 320 divisors, whose sum is σ = 2701416960. Its totient is φ = 250822656.

The previous prime is 828226897. The next prime is 828226957. The reversal of 828226944 is 449622828.

828226944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 828226944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6521409 + ... + 6521535.

It is an arithmetic number, because the mean of its divisors is an integer number (8441928).

Almost surely, 2^828226944 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 828226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350708480).

828226944 is an abundant number, since it is smaller than the sum of its proper divisors (1873190016).

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

828226944 is a wasteful number, since it uses less digits than its factorization.

828226944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 828226944 is about 28778.9322943017. The cubic root of 828226944 is about 939.1099708906.

The spelling of 828226944 in words is "eight hundred twenty-eight million, two hundred twenty-six thousand, nine hundred forty-four".