368328 has 32 divisors (see below), whose sum is σ = 936000. Its totient is φ = 120768.

The previous prime is 368327. The next prime is 368359. The reversal of 368328 is 823863.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3¹⁰ + 6² + 3¹¹ + 8³ + 2¹⁷ + 8³ .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 368295 and 368304.

It is not an unprimeable number, because it can be changed into a prime (368323) 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, 2398 + ... + 2546.

It is an arithmetic number, because the mean of its divisors is an integer number (29250).

2³⁶⁸³²⁸ is an apocalyptic number.

It is an amenable number.

368328 is an abundant number, since it is smaller than the sum of its proper divisors (567672).

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

368328 is a wasteful number, since it uses less digits than its factorization.

368328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 368328 is about 606.9003213049. The cubic root of 368328 is about 71.6822416723.

Subtracting 368328 from its reverse (823863), we obtain a triangular number (455535 = T₉₅₄).

It can be divided in two parts, 368 and 328, that added together give a palindrome (696).

The spelling of 368328 in words is "three hundred sixty-eight thousand, three hundred twenty-eight".