362328 has 32 divisors (see below), whose sum is σ = 936960. Its totient is φ = 116640.

The previous prime is 362309. The next prime is 362333. The reversal of 362328 is 823263.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 362298 and 362307.

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 362328.

It is an unprimeable number.

362328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (29280).

2³⁶²³²⁸ 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 362328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468480).

362328 is an abundant number, since it is smaller than the sum of its proper divisors (574632).

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

362328 is a wasteful number, since it uses less digits than its factorization.

362328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 362328 is about 601.9368737667. The cubic root of 362328 is about 71.2908783583.

The spelling of 362328 in words is "three hundred sixty-two thousand, three hundred twenty-eight".