359328 has 48 divisors (see below), whose sum is σ = 997920. Its totient is φ = 112896.

The previous prime is 359327. The next prime is 359353. The reversal of 359328 is 823953.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×359328² = 258233223168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 359295 and 359304.

It is not an unprimeable number, because it can be changed into a prime (359323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1726 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2³⁵⁹³²⁸ is an apocalyptic number.

359328 is a gapful number since it is divisible by the number (38) 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 359328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

359328 is an abundant number, since it is smaller than the sum of its proper divisors (638592).

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

359328 is a wasteful number, since it uses less digits than its factorization.

359328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 359328 is about 599.4397384225. The cubic root of 359328 is about 71.0935749583.

The spelling of 359328 in words is "three hundred fifty-nine thousand, three hundred twenty-eight".