7428288 has 56 divisors (see below), whose sum is σ = 22465792. Its totient is φ = 2121984.

The previous prime is 7428283. The next prime is 7428301. The reversal of 7428288 is 8828247.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×7428288² = 110358925221888, which contains 22 as substring.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7428283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1420 + ... + 4107.

Almost surely, 2^7428288 is an apocalyptic number.

It is an amenable number.

7428288 is an abundant number, since it is smaller than the sum of its proper divisors (15037504).

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

7428288 is a wasteful number, since it uses less digits than its factorization.

7428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5539 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 7428288 is about 2725.4885800531. The cubic root of 7428288 is about 195.1175097119.

The spelling of 7428288 in words is "seven million, four hundred twenty-eight thousand, two hundred eighty-eight".