6388648728 has 512 divisors, whose sum is σ = 22096281600. Its totient is φ = 1490227200.

The previous prime is 6388648723. The next prime is 6388648753. The reversal of 6388648728 is 8278468836.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6388648723) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87515700 + ... + 87515772.

It is an arithmetic number, because the mean of its divisors is an integer number (43156800).

Almost surely, 2^6388648728 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 6388648728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048140800).

6388648728 is an abundant number, since it is smaller than the sum of its proper divisors (15707632872).

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

6388648728 is a wasteful number, since it uses less digits than its factorization.

6388648728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The square root of 6388648728 is about 79929.0230642162. The cubic root of 6388648728 is about 1855.5372184902.

The spelling of 6388648728 in words is "six billion, three hundred eighty-eight million, six hundred forty-eight thousand, seven hundred twenty-eight".