7228128 has 96 divisors (see below), whose sum is σ = 20756736. Its totient is φ = 2193408.

The previous prime is 7228121. The next prime is 7228129. The reversal of 7228128 is 8218227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 7228095 and 7228104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7228121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70125 + ... + 70227.

It is an arithmetic number, because the mean of its divisors is an integer number (216216).

Almost surely, 2^7228128 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 7228128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378368).

7228128 is an abundant number, since it is smaller than the sum of its proper divisors (13528608).

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

7228128 is a wasteful number, since it uses less digits than its factorization.

7228128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 7228128 is about 2688.5178072685. The cubic root of 7228128 is about 193.3490065243.

Subtracting 7228128 from its reverse (8218227), we obtain a palindrome (990099).

The spelling of 7228128 in words is "seven million, two hundred twenty-eight thousand, one hundred twenty-eight".