7268328 has 72 divisors (see below), whose sum is σ = 20714850. Its totient is φ = 2299584.

The previous prime is 7268323. The next prime is 7268329. The reversal of 7268328 is 8238627.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6140484 + 1127844 = 2478^2 + 1062^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7268292 and 7268301.

It is not an unprimeable number, because it can be changed into a prime (7268321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123163 + ... + 123221.

Almost surely, 2^7268328 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 7268328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10357425).

7268328 is an abundant number, since it is smaller than the sum of its proper divisors (13446522).

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

7268328 is a wasteful number, since it uses less digits than its factorization.

7268328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 93 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7268328 is about 2695.9836794758. The cubic root of 7268328 is about 193.7067877269.

Subtracting 7268328 from its reverse (8238627), we obtain a cube (970299 = 99³).

The spelling of 7268328 in words is "seven million, two hundred sixty-eight thousand, three hundred twenty-eight".