4005908928 has 168 divisors, whose sum is σ = 13813454720. Its totient is φ = 1084285440.

The previous prime is 4005908923. The next prime is 4005908969. The reversal of 4005908928 is 8298095004.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005908923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50463 + ... + 102753.

Almost surely, 2^4005908928 is an apocalyptic number.

4005908928 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 4005908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906727360).

4005908928 is an abundant number, since it is smaller than the sum of its proper divisors (9807545792).

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

4005908928 is a wasteful number, since it uses less digits than its factorization.

4005908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52335 (or 52322 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4005908928 is about 63292.2501417038. The cubic root of 4005908928 is about 1588.1823205997.

The spelling of 4005908928 in words is "four billion, five million, nine hundred eight thousand, nine hundred twenty-eight".