6828001880 has 128 divisors (see below), whose sum is σ = 18517248000. Its totient is φ = 2213568000.

The previous prime is 6828001849. The next prime is 6828001883. The reversal of 6828001880 is 881008286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828001883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3994466 + ... + 3996174.

It is an arithmetic number, because the mean of its divisors is an integer number (144666000).

Almost surely, 2^6828001880 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 6828001880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258624000).

6828001880 is an abundant number, since it is smaller than the sum of its proper divisors (11689246120).

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

6828001880 is a wasteful number, since it uses less digits than its factorization.

6828001880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 6828001880 is about 82631.7244162313. The cubic root of 6828001880 is about 1897.1334317116.

The spelling of 6828001880 in words is "six billion, eight hundred twenty-eight million, one thousand, eight hundred eighty".