7286328 has 128 divisors (see below), whose sum is σ = 23808000. Its totient is φ = 2021760.

The previous prime is 7286311. The next prime is 7286339. The reversal of 7286328 is 8236827.

It is a happy number.

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

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

It is a d-powerful number, because it can be written as 7⁷ + 2⁶ + 8 + 6⁸ + 3¹⁴ + 2⁶ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 7286292 and 7286301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92193 + ... + 92271.

It is an arithmetic number, because the mean of its divisors is an integer number (186000).

Almost surely, 2^7286328 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 7286328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904000).

7286328 is an abundant number, since it is smaller than the sum of its proper divisors (16521672).

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

7286328 is a wasteful number, since it uses less digits than its factorization.

7286328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

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

The square root of 7286328 is about 2699.3199143488. The cubic root of 7286328 is about 193.8665607332.

It can be divided in two parts, 728 and 6328, that added together give a square (7056 = 84²).

The spelling of 7286328 in words is "seven million, two hundred eighty-six thousand, three hundred twenty-eight".