4005888 has 56 divisors (see below), whose sum is σ = 10747248. Its totient is φ = 1327104.

The previous prime is 4005847. The next prime is 4005889. The reversal of 4005888 is 8885004.

It is not an unprimeable number, because it can be changed into a prime (4005889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24495 + ... + 24657.

Almost surely, 2^4005888 is an apocalyptic number.

4005888 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 4005888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373624).

4005888 is an abundant number, since it is smaller than the sum of its proper divisors (6741360).

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

4005888 is an equidigital number, since it uses as much as digits as its factorization.

4005888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 4005888 is about 2001.4714587023. The cubic root of 4005888 is about 158.8179554890.

The spelling of 4005888 in words is "four million, five thousand, eight hundred eighty-eight".