11828376 has 64 divisors (see below), whose sum is σ = 37555200. Its totient is φ = 3379104.

The previous prime is 11828357. The next prime is 11828407. The reversal of 11828376 is 67382811.

11828376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 11828376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (586800).

Almost surely, 2^11828376 is an apocalyptic number.

It is an amenable number.

11828376 is an abundant number, since it is smaller than the sum of its proper divisors (25726824).

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

11828376 is a wasteful number, since it uses less digits than its factorization.

11828376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7845 (or 7835 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11828376 is about 3439.2406138565. The cubic root of 11828376 is about 227.8461566051.

The spelling of 11828376 in words is "eleven million, eight hundred twenty-eight thousand, three hundred seventy-six".