279328 has 48 divisors (see below), whose sum is σ = 665280. Its totient is φ = 112896.

The previous prime is 279317. The next prime is 279329. The reversal of 279328 is 823972.

It is an Ulam number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 279328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (279329) by changing a digit.

279328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6475 + ... + 6517.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

279328 is a Friedman number, since it can be written as 8729*32, using all its digits and the basic arithmetic operations.

2²⁷⁹³²⁸ is an apocalyptic number.

279328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 279328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

279328 is an abundant number, since it is smaller than the sum of its proper divisors (385952).

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

279328 is a wasteful number, since it uses less digits than its factorization.

279328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 279328 is about 528.5149004522. The cubic root of 279328 is about 65.3689472172.

Subtracting 279328 from its reverse (823972), we obtain a square (544644 = 738²).

The spelling of 279328 in words is "two hundred seventy-nine thousand, three hundred twenty-eight".