4400128 has 22 divisors (see below), whose sum is σ = 8798006. Its totient is φ = 2199552.

The previous prime is 4400111. The next prime is 4400129. The reversal of 4400128 is 8210044.

It can be written as a sum of positive squares in only one way, i.e., 3810304 + 589824 = 1952^2 + 768^2 .

It is a super-4 number, since 4×4400128⁴ (a number of 28 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4400129) 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 as a sum of consecutive naturals, namely, 1125 + ... + 3172.

Almost surely, 2^4400128 is an apocalyptic number.

It is an amenable number.

4400128 is a deficient number, since it is larger than the sum of its proper divisors (4397878).

4400128 is an equidigital number, since it uses as much as digits as its factorization.

4400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4400128 is about 2097.6482069213. The cubic root of 4400128 is about 163.8658430914.

The spelling of 4400128 in words is "four million, four hundred thousand, one hundred twenty-eight".