4428288 has 90 divisors (see below), whose sum is σ = 13205907. Its totient is φ = 1428480.

The previous prime is 4428283. The next prime is 4428289. The reversal of 4428288 is 8828244.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 2214144 = 1488^2 + 1488^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1488.

It is a super-2 number, since 2×4428288² = 39219469221888, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4⁸ + 4⁸ + 2¹⁶ + 8³ + 2²² + 8⁴ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (4428283) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142833 + ... + 142863.

Almost surely, 2^4428288 is an apocalyptic number.

4428288 is a gapful number since it is divisible by the number (48) 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 4428288

4428288 is an abundant number, since it is smaller than the sum of its proper divisors (8777619).

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

4428288 is an equidigital number, since it uses as much as digits as its factorization.

4428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

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

The square root of 4428288 is about 2104.3497808112. The cubic root of 4428288 is about 164.2146702992.

Multiplying 4428288 by its product of digits (32768), we get a square (145106141184 = 380928²).

The spelling of 4428288 in words is "four million, four hundred twenty-eight thousand, two hundred eighty-eight".