287328 has 48 divisors (see below), whose sum is σ = 783216. Its totient is φ = 92160.

The previous prime is 287327. The next prime is 287333. The reversal of 287328 is 823782.

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

It is a super-3 number, since 3×287328³ = 71163140283334656, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 287295 and 287304.

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 287328.

It is not an unprimeable number, because it can be changed into a prime (287321) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3900 + ... + 3972.

It is an arithmetic number, because the mean of its divisors is an integer number (16317).

2²⁸⁷³²⁸ 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 287328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391608).

287328 is an abundant number, since it is smaller than the sum of its proper divisors (495888).

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

287328 is a wasteful number, since it uses less digits than its factorization.

287328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 287328 is about 536.0298499151. The cubic root of 287328 is about 65.9871416640.

The spelling of 287328 in words is "two hundred eighty-seven thousand, three hundred twenty-eight".