1135728 has 80 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 342720.

The previous prime is 1135721. The next prime is 1135733. The reversal of 1135728 is 8275311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4633 + ... + 4871.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2^1135728 is an apocalyptic number.

1135728 is a gapful number since it is divisible by the number (18) 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 1135728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1135728 is an abundant number, since it is smaller than the sum of its proper divisors (2435472).

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

1135728 is a wasteful number, since it uses less digits than its factorization.

1135728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 1135728 is about 1065.7054001928. The cubic root of 1135728 is about 104.3337404900. Note that the first 3 decimals are identical.

The spelling of 1135728 in words is "one million, one hundred thirty-five thousand, seven hundred twenty-eight".