1253728 has 48 divisors (see below), whose sum is σ = 2933280. Its totient is φ = 516096.

The previous prime is 1253723. The next prime is 1253729. The reversal of 1253728 is 8273521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1253696 and 1253705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253723) 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 7 ways as a sum of consecutive naturals, for example, 6400 + ... + 6592.

It is an arithmetic number, because the mean of its divisors is an integer number (61110).

2^1253728 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 1253728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466640).

1253728 is an abundant number, since it is smaller than the sum of its proper divisors (1679552).

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

1253728 is a wasteful number, since it uses less digits than its factorization.

1253728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 1253728 is about 1119.6999598107. The cubic root of 1253728 is about 107.8287179831.

The spelling of 1253728 in words is "one million, two hundred fifty-three thousand, seven hundred twenty-eight".