1185728 has 28 divisors (see below), whose sum is σ = 2389632. Its totient is φ = 583680.

The previous prime is 1185721. The next prime is 1185749. The reversal of 1185728 is 8275811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1185694 and 1185703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1185721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6113 + ... + 6303.

It is an arithmetic number, because the mean of its divisors is an integer number (85344).

2^1185728 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 1185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194816).

1185728 is an abundant number, since it is smaller than the sum of its proper divisors (1203904).

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

1185728 is an equidigital number, since it uses as much as digits as its factorization.

1185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its digits is 4480, while the sum is 32.

The square root of 1185728 is about 1088.9113829876. The cubic root of 1185728 is about 105.8428905471.

The spelling of 1185728 in words is "one million, one hundred eighty-five thousand, seven hundred twenty-eight".