8224128 has 144 divisors (see below), whose sum is σ = 26453700. Its totient is φ = 2449920.

The previous prime is 8224123. The next prime is 8224157. The reversal of 8224128 is 8214228.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8224121) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 139363 + ... + 139421.

Almost surely, 2^8224128 is an apocalyptic number.

8224128 is a gapful number since it is divisible by the number (88) 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 8224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226850).

8224128 is an abundant number, since it is smaller than the sum of its proper divisors (18229572).

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

8224128 is a wasteful number, since it uses less digits than its factorization.

8224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 8224128 is about 2867.7740496769. The cubic root of 8224128 is about 201.8505577030.

It can be divided in two parts, 822 and 4128, that added together give a triangular number (4950 = T₉₉).

The spelling of 8224128 in words is "eight million, two hundred twenty-four thousand, one hundred twenty-eight".