40328 has 12 divisors (see below), whose sum is σ = 76695. Its totient is φ = 19880.

The previous prime is 40289. The next prime is 40343. The reversal of 40328 is 82304.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 20164 + 20164 = 142^2 + 142^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=142.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40328.

It is an unprimeable number.

40328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 2 ways as a sum of consecutive naturals, for example, 533 + ... + 603.

2⁴⁰³²⁸ is an apocalyptic number.

It is an amenable number.

40328 is a deficient number, since it is larger than the sum of its proper divisors (36367).

40328 is an equidigital number, since it uses as much as digits as its factorization.

40328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 40328 is about 200.8183258570. The cubic root of 40328 is about 34.2927432679.

The spelling of 40328 in words is "forty thousand, three hundred twenty-eight".