8028288 has 128 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 2534400.

The previous prime is 8028277. The next prime is 8028289. The reversal of 8028288 is 8828208.

8028288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (8028289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79438 + ... + 79538.

It is an arithmetic number, because the mean of its divisors is an integer number (195075).

Almost surely, 2^8028288 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 8028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

8028288 is an abundant number, since it is smaller than the sum of its proper divisors (16941312).

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

8028288 is a wasteful number, since it uses less digits than its factorization.

8028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8028288 is about 2833.4233711184. The cubic root of 8028288 is about 200.2354560269.

The spelling of 8028288 in words is "eight million, twenty-eight thousand, two hundred eighty-eight".