11830728 has 64 divisors (see below), whose sum is σ = 36408960. Its totient is φ = 3119616.

The previous prime is 11830727. The next prime is 11830729. The reversal of 11830728 is 82703811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11830727) and next prime (11830729).

It is a super-2 number, since 2×11830728² = 279932250019968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11830695 and 11830704.

It is not an unprimeable number, because it can be changed into a prime (11830727) 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, 525 + ... + 4892.

It is an arithmetic number, because the mean of its divisors is an integer number (568890).

Almost surely, 2^11830728 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 11830728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204480).

11830728 is an abundant number, since it is smaller than the sum of its proper divisors (24578232).

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

11830728 is a wasteful number, since it uses less digits than its factorization.

11830728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5442 counting only the distinct ones).

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

The square root of 11830728 is about 3439.5825328083. The cubic root of 11830728 is about 227.8612575410.

The spelling of 11830728 in words is "eleven million, eight hundred thirty thousand, seven hundred twenty-eight".