248328 has 24 divisors (see below), whose sum is σ = 672750. Its totient is φ = 82752.

The previous prime is 248323. The next prime is 248351. The reversal of 248328 is 823842.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 324 = 498^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248328.

It is not an unprimeable number, because it can be changed into a prime (248323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1653 + ... + 1796.

2²⁴⁸³²⁸ is an apocalyptic number.

It is an amenable number.

248328 is an abundant number, since it is smaller than the sum of its proper divisors (424422).

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

248328 is a wasteful number, since it uses less digits than its factorization.

248328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3454 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 248328 is about 498.3251950283. The cubic root of 248328 is about 62.8552990408.

It can be divided in two parts, 248 and 328, that added together give a square (576 = 24²).

The spelling of 248328 in words is "two hundred forty-eight thousand, three hundred twenty-eight".