365328 has 60 divisors (see below), whose sum is σ = 1063920. Its totient is φ = 116928.

The previous prime is 365327. The next prime is 365333. The reversal of 365328 is 823563.

365328 is a `hidden beast` number, since 3 + 653 + 2 + 8 = 666.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365328.

It is not an unprimeable number, because it can be changed into a prime (365327) 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 11 ways as a sum of consecutive naturals, for example, 6163 + ... + 6221.

It is an arithmetic number, because the mean of its divisors is an integer number (17732).

2³⁶⁵³²⁸ 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 365328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531960).

365328 is an abundant number, since it is smaller than the sum of its proper divisors (698592).

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

365328 is a wasteful number, since it uses less digits than its factorization.

365328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 365328 is about 604.4236924542. The cubic root of 365328 is about 71.4870956548.

The spelling of 365328 in words is "three hundred sixty-five thousand, three hundred twenty-eight".