6828483200 has 576 divisors, whose sum is σ = 22190410080. Its totient is φ = 2051481600.

The previous prime is 6828483199. The next prime is 6828483203. The reversal of 6828483200 is 23848286.

It is not an unprimeable number, because it can be changed into a prime (6828483203) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 63817547 + ... + 63817653.

Almost surely, 2^6828483200 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 6828483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095205040).

6828483200 is an abundant number, since it is smaller than the sum of its proper divisors (15361926880).

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

6828483200 is a wasteful number, since it uses less digits than its factorization.

6828483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 6828483200 is about 82634.6368056398. The cubic root of 6828483200 is about 1897.1780082863.

The spelling of 6828483200 in words is "six billion, eight hundred twenty-eight million, four hundred eighty-three thousand, two hundred".