4221828 has 96 divisors (see below), whose sum is σ = 12293120. Its totient is φ = 1244160.

The previous prime is 4221827. The next prime is 4221829. The reversal of 4221828 is 8281224.

It is an interprime number because it is at equal distance from previous prime (4221827) and next prime (4221829).

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 (4221827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43476 + ... + 43572.

Almost surely, 2^4221828 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 4221828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146560).

4221828 is an abundant number, since it is smaller than the sum of its proper divisors (8071292).

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

4221828 is a wasteful number, since it uses less digits than its factorization.

4221828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 4221828 is about 2054.7087384834. The cubic root of 4221828 is about 161.6218890880.

The spelling of 4221828 in words is "four million, two hundred twenty-one thousand, eight hundred twenty-eight".