4228884 has 72 divisors (see below), whose sum is σ = 11924640. Its totient is φ = 1252800.

The previous prime is 4228883. The next prime is 4228891. The reversal of 4228884 is 4888224.

It is a super-3 number, since 3×4228884³ (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32768) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228883) 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 23 ways as a sum of consecutive naturals, for example, 23274 + ... + 23454.

It is an arithmetic number, because the mean of its divisors is an integer number (165620).

Almost surely, 2^4228884 is an apocalyptic number.

4228884 is a gapful number since it is divisible by the number (44) 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 4228884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962320).

4228884 is an abundant number, since it is smaller than the sum of its proper divisors (7695756).

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

4228884 is a wasteful number, since it uses less digits than its factorization.

4228884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 4228884 is about 2056.4250533389. The cubic root of 4228884 is about 161.7118792782.

The spelling of 4228884 in words is "four million, two hundred twenty-eight thousand, eight hundred eighty-four".