4008088728 has 96 divisors (see below), whose sum is σ = 12439315200. Its totient is φ = 1142092224.

The previous prime is 4008088723. The next prime is 4008088771. The reversal of 4008088728 is 8278808004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008088723) 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 23 ways as a sum of consecutive naturals, for example, 180525 + ... + 201507.

It is an arithmetic number, because the mean of its divisors is an integer number (129576200).

Almost surely, 2^4008088728 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 4008088728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219657600).

4008088728 is an abundant number, since it is smaller than the sum of its proper divisors (8431226472).

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

4008088728 is a wasteful number, since it uses less digits than its factorization.

4008088728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21381 (or 21374 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 4008088728 is about 63309.4679175240. The cubic root of 4008088728 is about 1588.4703361407.

The spelling of 4008088728 in words is "four billion, eight million, eighty-eight thousand, seven hundred twenty-eight".