3008928 has 48 divisors (see below), whose sum is σ = 8509536. Its totient is φ = 925440.

The previous prime is 3008923. The next prime is 3008981. The reversal of 3008928 is 8298003.

3008928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3008895 and 3008904.

It is not an unprimeable number, because it can be changed into a prime (3008921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 2453.

It is an arithmetic number, because the mean of its divisors is an integer number (177282).

Almost surely, 2^3008928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3008928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254768).

3008928 is an abundant number, since it is smaller than the sum of its proper divisors (5500608).

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

3008928 is a wasteful number, since it uses less digits than its factorization.

3008928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3008928 is about 1734.6261845135. The cubic root of 3008928 is about 144.3678864957.

The spelling of 3008928 in words is "three million, eight thousand, nine hundred twenty-eight".