249128 has 32 divisors (see below), whose sum is σ = 540000. Its totient is φ = 106560.

The previous prime is 249127. The next prime is 249131. The reversal of 249128 is 821942.

249128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 249097 and 249106.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249128.

It is not an unprimeable number, because it can be changed into a prime (249127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1598 + ... + 1746.

It is an arithmetic number, because the mean of its divisors is an integer number (16875).

2²⁴⁹¹²⁸ 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 249128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270000).

249128 is an abundant number, since it is smaller than the sum of its proper divisors (290872).

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

249128 is a wasteful number, since it uses less digits than its factorization.

249128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 249128 is about 499.1272382870. The cubic root of 249128 is about 62.9227237613.

The spelling of 249128 in words is "two hundred forty-nine thousand, one hundred twenty-eight".