3133328 has 40 divisors (see below), whose sum is σ = 6978720. Its totient is φ = 1347840.

The previous prime is 3133303. The next prime is 3133331. The reversal of 3133328 is 8233313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2876 + ... + 3812.

It is an arithmetic number, because the mean of its divisors is an integer number (174468).

Almost surely, 2^3133328 is an apocalyptic number.

3133328 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 3133328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489360).

3133328 is an abundant number, since it is smaller than the sum of its proper divisors (3845392).

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

3133328 is a wasteful number, since it uses less digits than its factorization.

3133328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 969 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 3133328 is about 1770.1208998258. The cubic root of 3133328 is about 146.3306448841.

It can be divided in two parts, 3 and 133328, that added together give a palindrome (133331).

The spelling of 3133328 in words is "three million, one hundred thirty-three thousand, three hundred twenty-eight".