363328 has 28 divisors (see below), whose sum is σ = 824992. Its totient is φ = 155520.

The previous prime is 363317. The next prime is 363329. The reversal of 363328 is 823363.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363329) 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 3 ways as a sum of consecutive naturals, for example, 43 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (29464).

2³⁶³³²⁸ 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 363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412496).

363328 is an abundant number, since it is smaller than the sum of its proper divisors (461664).

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

363328 is an equidigital number, since it uses as much as digits as its factorization.

363328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 363328 is about 602.7669533078. The cubic root of 363328 is about 71.3564040631.

It can be divided in two parts, 36 and 3328, that added together give a square (3364 = 58²).

The spelling of 363328 in words is "three hundred sixty-three thousand, three hundred twenty-eight".