4047728688 has 240 divisors, whose sum is σ = 12313100800. Its totient is φ = 1237317120.

The previous prime is 4047728677. The next prime is 4047728743. The reversal of 4047728688 is 8868277404.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13184631 + ... + 13184937.

Almost surely, 2^4047728688 is an apocalyptic number.

4047728688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4047728688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156550400).

4047728688 is an abundant number, since it is smaller than the sum of its proper divisors (8265372112).

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

4047728688 is a wasteful number, since it uses less digits than its factorization.

4047728688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 4047728688 is about 63621.7626917079. The cubic root of 4047728688 is about 1593.6898191439.

The spelling of 4047728688 in words is "four billion, forty-seven million, seven hundred twenty-eight thousand, six hundred eighty-eight".