328320 has 128 divisors (see below), whose sum is σ = 1224000. Its totient is φ = 82944.

The previous prime is 328303. The next prime is 328327. The reversal of 328320 is 23823.

328320 = 5² + 6² + ... + 99².

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 328293 and 328302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328320.

It is not an unprimeable number, because it can be changed into a prime (328327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17271 + ... + 17289.

2³²⁸³²⁰ is an apocalyptic number.

328320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612000).

328320 is an abundant number, since it is smaller than the sum of its proper divisors (895680).

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

328320 is a wasteful number, since it uses less digits than its factorization.

328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 328320 is about 572.9921465430. The cubic root of 328320 is about 68.9867649473.

The spelling of 328320 in words is "three hundred twenty-eight thousand, three hundred twenty".