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4428 = 223341

4428 has 24 divisors (see below), whose sum is σ = 11760. Its totient is φ = 1440.

The previous prime is 4423. The next prime is 4441. The reversal of 4428 is 8244.

It is a happy number.

It is a Smith number, since the sum of its digits (18) 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 (18).

4428 is an undulating number in base 9.

It is a plaindrome in base 11 and base 16.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 4428.

It is not an unprimeable number, because it can be changed into a prime (4421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (490).

24428 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 4428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880).

4428 is an abundant number, since it is smaller than the sum of its proper divisors (7332).

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

4428 is a wasteful number, since it uses less digits than its factorization.

4428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4428 is about 66.5432190385. The cubic root of 4428 is about 16.4211110244.

The spelling of 4428 in words is "four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428