248528 has 30 divisors (see below), whose sum is σ = 561906. Its totient is φ = 106176.

The previous prime is 248509. The next prime is 248533. The reversal of 248528 is 825842.

248528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 94864 = 392^2 + 308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 248528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 626 + ... + 942.

2²⁴⁸⁵²⁸ is an apocalyptic number.

248528 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 248528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280953).

248528 is an abundant number, since it is smaller than the sum of its proper divisors (313378).

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

248528 is a wasteful number, since it uses less digits than its factorization.

248528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 248528 is about 498.5258268134. The cubic root of 248528 is about 62.8721687809.

The spelling of 248528 in words is "two hundred forty-eight thousand, five hundred twenty-eight".