2008191728 has 20 divisors (see below), whose sum is σ = 3934591920. Its totient is φ = 992813184.

The previous prime is 2008191727. The next prime is 2008191751. The reversal of 2008191728 is 8271918002.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2008191691 and 2008191700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008191727) 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 3 ways as a sum of consecutive naturals, for example, 703700 + ... + 706547.

It is an arithmetic number, because the mean of its divisors is an integer number (196729596).

Almost surely, 2^2008191728 is an apocalyptic number.

It is an amenable number.

2008191728 is a deficient number, since it is larger than the sum of its proper divisors (1926400192).

2008191728 is a wasteful number, since it uses less digits than its factorization.

2008191728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410344 (or 1410338 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 2008191728 is about 44812.8522636085. The cubic root of 2008191728 is about 1261.6388618076.

The spelling of 2008191728 in words is "two billion, eight million, one hundred ninety-one thousand, seven hundred twenty-eight".