2008648128 has 56 divisors (see below), whose sum is σ = 5318993680. Its totient is φ = 668989440.

The previous prime is 2008648127. The next prime is 2008648157. The reversal of 2008648128 is 8218468002.

2008648128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008648127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270708 + ... + 278028.

It is an arithmetic number, because the mean of its divisors is an integer number (94982030).

Almost surely, 2^2008648128 is an apocalyptic number.

It is an amenable number.

2008648128 is an abundant number, since it is smaller than the sum of its proper divisors (3310345552).

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

2008648128 is a wasteful number, since it uses less digits than its factorization.

2008648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 2008648128 is about 44817.9442634309. The cubic root of 2008648128 is about 1261.7344317595.

The spelling of 2008648128 in words is "two billion, eight million, six hundred forty-eight thousand, one hundred twenty-eight".