2008288128 has 384 divisors, whose sum is σ = 7010288640. Its totient is φ = 503193600.

The previous prime is 2008288111. The next prime is 2008288153. The reversal of 2008288128 is 8218828002.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6416100 + ... + 6416412.

It is an arithmetic number, because the mean of its divisors is an integer number (18255960).

Almost surely, 2^2008288128 is an apocalyptic number.

2008288128 is a gapful number since it is divisible by the number (28) 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 2008288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505144320).

2008288128 is an abundant number, since it is smaller than the sum of its proper divisors (5002000512).

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

2008288128 is a wasteful number, since it uses less digits than its factorization.

2008288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 2008288128 is about 44813.9278349934. The cubic root of 2008288128 is about 1261.6590491298.

The spelling of 2008288128 in words is "two billion, eight million, two hundred eighty-eight thousand, one hundred twenty-eight".