3328128 has 96 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 1099008.

The previous prime is 3328121. The next prime is 3328133. The reversal of 3328128 is 8218233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3328128² = 22152871968768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3328121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31051 + ... + 31157.

Almost surely, 2^3328128 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 3328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

3328128 is an abundant number, since it is smaller than the sum of its proper divisors (6696432).

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

3328128 is an equidigital number, since it uses as much as digits as its factorization.

3328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3328128 is about 1824.3157621421. The cubic root of 3328128 is about 149.3023603564.

The spelling of 3328128 in words is "three million, three hundred twenty-eight thousand, one hundred twenty-eight".