65328 has 20 divisors (see below), whose sum is σ = 168888. Its totient is φ = 21760.

The previous prime is 65327. The next prime is 65353. The reversal of 65328 is 82356.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 65298 and 65307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65328.

It is not an unprimeable number, because it can be changed into a prime (65323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 633 + ... + 728.

2⁶⁵³²⁸ is an apocalyptic number.

It is an amenable number.

65328 is an abundant number, since it is smaller than the sum of its proper divisors (103560).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84444).

65328 is a wasteful number, since it uses less digits than its factorization.

65328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 65328 is about 255.5934271455. The cubic root of 65328 is about 40.2747748147.

It can be divided in two parts, 65 and 328, that added together give a palindrome (393).

The spelling of 65328 in words is "sixty-five thousand, three hundred twenty-eight".