1183728 has 80 divisors (see below), whose sum is σ = 3777536. Its totient is φ = 311040.

The previous prime is 1183723. The next prime is 1183729. The reversal of 1183728 is 8273811.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1183695 and 1183704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1183723) 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, 4233 + ... + 4503.

2^1183728 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 1183728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888768).

1183728 is an abundant number, since it is smaller than the sum of its proper divisors (2593808).

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

1183728 is a wasteful number, since it uses less digits than its factorization.

1183728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 1183728 is about 1087.9926470340. The cubic root of 1183728 is about 105.7833476864.

The spelling of 1183728 in words is "one million, one hundred eighty-three thousand, seven hundred twenty-eight".