11781828 has 72 divisors (see below), whose sum is σ = 31802400. Its totient is φ = 3770928.

The previous prime is 11781827. The next prime is 11781839. The reversal of 11781828 is 82818711.

11781828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11781828² = 277622942043168, which contains 22 as substring.

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 = 11781792 and 11781801.

It is not an unprimeable number, because it can be changed into a prime (11781827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199663 + ... + 199721.

It is an arithmetic number, because the mean of its divisors is an integer number (441700).

Almost surely, 2^11781828 is an apocalyptic number.

11781828 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 11781828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901200).

11781828 is an abundant number, since it is smaller than the sum of its proper divisors (20020572).

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

11781828 is a wasteful number, since it uses less digits than its factorization.

11781828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 107 counting only the distinct ones).

The product of its digits is 7168, while the sum is 36.

The square root of 11781828 is about 3432.4667514777. The cubic root of 11781828 is about 227.5468840297.

The spelling of 11781828 in words is "eleven million, seven hundred eighty-one thousand, eight hundred twenty-eight".