128414224 has 15 divisors (see below), whose sum is σ = 248890413. Its totient is φ = 64184448.

The previous prime is 128414203. The next prime is 128414239. The reversal of 128414224 is 422414821.

The square root of 128414224 is 11332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50410000 + 78004224 = 7100^2 + 8832^2 .

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128414192 and 128414201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 43912 + ... + 46744.

Almost surely, 2^128414224 is an apocalyptic number.

128414224 is the 11332-nd square number.

It is an amenable number.

128414224 is a deficient number, since it is larger than the sum of its proper divisors (120476189).

128414224 is an frugal number, since it uses more digits than its factorization.

128414224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 2835 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The cubic root of 128414224 is about 504.5114695208.

Multiplying 128414224 by its product of digits (4096), we get a square (525984661504 = 725248²).

The spelling of 128414224 in words is "one hundred twenty-eight million, four hundred fourteen thousand, two hundred twenty-four".