6828147288 has 128 divisors (see below), whose sum is σ = 19193587200. Its totient is φ = 2249050752.

The previous prime is 6828147259. The next prime is 6828147299. The reversal of 6828147288 is 8827418286.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 7697581 + ... + 7698467.

It is an arithmetic number, because the mean of its divisors is an integer number (149949900).

Almost surely, 2^6828147288 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 6828147288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596793600).

6828147288 is an abundant number, since it is smaller than the sum of its proper divisors (12365439912).

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

6828147288 is a wasteful number, since it uses less digits than its factorization.

6828147288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1276 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 6828147288 is about 82632.6042673230. The cubic root of 6828147288 is about 1897.1468986294.

The spelling of 6828147288 in words is "six billion, eight hundred twenty-eight million, one hundred forty-seven thousand, two hundred eighty-eight".