7288128 has 42 divisors (see below), whose sum is σ = 20891754. Its totient is φ = 2429184.

The previous prime is 7288123. The next prime is 7288129. The reversal of 7288128 is 8218827.

It can be written as a sum of positive squares in only one way, i.e., 3873024 + 3415104 = 1968^2 + 1848^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7288092 and 7288101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7288123) 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 5 ways as a sum of consecutive naturals, for example, 5751 + ... + 6902.

Almost surely, 2^7288128 is an apocalyptic number.

It is an amenable number.

7288128 is an abundant number, since it is smaller than the sum of its proper divisors (13603626).

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

7288128 is a wasteful number, since it uses less digits than its factorization.

7288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12671 (or 12658 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 7288128 is about 2699.6533110753. The cubic root of 7288128 is about 193.8825235555.

The spelling of 7288128 in words is "seven million, two hundred eighty-eight thousand, one hundred twenty-eight".