3287228 has 48 divisors (see below), whose sum is σ = 7150080. Its totient is φ = 1290816.

The previous prime is 3287189. The next prime is 3287261. The reversal of 3287228 is 8227823.

3287228 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3⁹ + 2¹² + 8 + 7⁶ + 2²⁰ + 2²¹ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 3287194 and 3287203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19601 + ... + 19767.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

Almost surely, 2^3287228 is an apocalyptic number.

3287228 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 3287228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575040).

3287228 is an abundant number, since it is smaller than the sum of its proper divisors (3862852).

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

3287228 is a wasteful number, since it uses less digits than its factorization.

3287228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 3287228 is about 1813.0714271644. The cubic root of 3287228 is about 148.6882360155.

The spelling of 3287228 in words is "three million, two hundred eighty-seven thousand, two hundred twenty-eight".