11727828 has 60 divisors (see below), whose sum is σ = 35045472. Its totient is φ = 3350160.

The previous prime is 11727823. The next prime is 11727829. The reversal of 11727828 is 82872711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11727792 and 11727801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11727823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 318 + ... + 4853.

Almost surely, 2^11727828 is an apocalyptic number.

11727828 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 11727828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17522736).

11727828 is an abundant number, since it is smaller than the sum of its proper divisors (23317644).

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

11727828 is a wasteful number, since it uses less digits than its factorization.

11727828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5183 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 11727828 is about 3424.5916544896. The cubic root of 11727828 is about 227.1987107726.

The spelling of 11727828 in words is "eleven million, seven hundred twenty-seven thousand, eight hundred twenty-eight".