361328 has 20 divisors (see below), whose sum is σ = 764088. Its totient is φ = 164160.

The previous prime is 361327. The next prime is 361337. The reversal of 361328 is 823163.

361328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361328.

It is not an unprimeable number, because it can be changed into a prime (361321) 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, 851 + ... + 1202.

2³⁶¹³²⁸ is an apocalyptic number.

It is an amenable number.

361328 is an abundant number, since it is smaller than the sum of its proper divisors (402760).

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

361328 is a wasteful number, since it uses less digits than its factorization.

361328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 361328 is about 601.1056479522. The cubic root of 361328 is about 71.2252319780.

The spelling of 361328 in words is "three hundred sixty-one thousand, three hundred twenty-eight".