4228000 has 96 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 1440000.

The previous prime is 4227991. The next prime is 4228031. The reversal of 4228000 is 8224.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 27925 + ... + 28075.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 2^4228000 is an apocalyptic number.

4228000 is a gapful number since it is divisible by the number (40) 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 4228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

4228000 is an abundant number, since it is smaller than the sum of its proper divisors (7722848).

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

4228000 is a wasteful number, since it uses less digits than its factorization.

4228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4228000 is about 2056.2101059960. The cubic root of 4228000 is about 161.7006104846.

The spelling of 4228000 in words is "four million, two hundred twenty-eight thousand".