3005216928 has 288 divisors, whose sum is σ = 10443363840. Its totient is φ = 800616960.

The previous prime is 3005216917. The next prime is 3005216941. The reversal of 3005216928 is 8296125003.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3005216892 and 3005216901.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2565783 + ... + 2566953.

It is an arithmetic number, because the mean of its divisors is an integer number (36261680).

Almost surely, 2^3005216928 is an apocalyptic number.

3005216928 is a gapful number since it is divisible by the number (38) 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 3005216928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221681920).

3005216928 is an abundant number, since it is smaller than the sum of its proper divisors (7438146912).

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

3005216928 is a wasteful number, since it uses less digits than its factorization.

3005216928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3005216928 is about 54819.8588834375. The cubic root of 3005216928 is about 1443.0850986361.

The spelling of 3005216928 in words is "three billion, five million, two hundred sixteen thousand, nine hundred twenty-eight".