3222828 has 120 divisors (see below), whose sum is σ = 10164000. Its totient is φ = 889056.

The previous prime is 3222823. The next prime is 3222833. The reversal of 3222828 is 8282223.

It is an interprime number because it is at equal distance from previous prime (3222823) and next prime (3222833).

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

It is not an unprimeable number, because it can be changed into a prime (3222823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111118 + ... + 111146.

It is an arithmetic number, because the mean of its divisors is an integer number (84700).

Almost surely, 2^3222828 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 3222828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082000).

3222828 is an abundant number, since it is smaller than the sum of its proper divisors (6941172).

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

3222828 is a wasteful number, since it uses less digits than its factorization.

3222828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 3222828 is about 1795.2236629457. The cubic root of 3222828 is about 147.7108427760.

The spelling of 3222828 in words is "three million, two hundred twenty-two thousand, eight hundred twenty-eight".