248928 has 24 divisors (see below), whose sum is σ = 653688. Its totient is φ = 82944.

The previous prime is 248909. The next prime is 248971. The reversal of 248928 is 829842.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

248928 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 3 ways as a sum of consecutive naturals, for example, 1201 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (27237).

248928 is a Friedman number, since it can be written as 48*((9*8)^2+2), using all its digits and the basic arithmetic operations.

2²⁴⁸⁹²⁸ is an apocalyptic number.

It is an amenable number.

248928 is an abundant number, since it is smaller than the sum of its proper divisors (404760).

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

248928 is a wasteful number, since it uses less digits than its factorization.

248928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2598 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 248928 is about 498.9268483455. The cubic root of 248928 is about 62.9058811290.

It can be divided in two parts, 248 and 928, that added together give a triangular number (1176 = T₄₈).

The spelling of 248928 in words is "two hundred forty-eight thousand, nine hundred twenty-eight".