11862828 has 24 divisors (see below), whose sum is σ = 30755760. Its totient is φ = 3954240.

The previous prime is 11862803. The next prime is 11862839. The reversal of 11862828 is 82826811.

11862828 is a `hidden beast` number, since 1 + 1 + 8 + 628 + 28 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 11862792 and 11862801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54813 + ... + 55028.

It is an arithmetic number, because the mean of its divisors is an integer number (1281490).

Almost surely, 2^11862828 is an apocalyptic number.

11862828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11862828 is an abundant number, since it is smaller than the sum of its proper divisors (18892932).

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

11862828 is a wasteful number, since it uses less digits than its factorization.

11862828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109854 (or 109846 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 11862828 is about 3444.2456358396. The cubic root of 11862828 is about 228.0671547337.

The spelling of 11862828 in words is "eleven million, eight hundred sixty-two thousand, eight hundred twenty-eight".