11877228 has 72 divisors (see below), whose sum is σ = 33218640. Its totient is φ = 3548160.

The previous prime is 11877209. The next prime is 11877241. The reversal of 11877228 is 82277811.

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 = 11877192 and 11877201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35076 + ... + 35412.

It is an arithmetic number, because the mean of its divisors is an integer number (461370).

Almost surely, 2^11877228 is an apocalyptic number.

11877228 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 11877228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609320).

11877228 is an abundant number, since it is smaller than the sum of its proper divisors (21341412).

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

11877228 is a wasteful number, since it uses less digits than its factorization.

11877228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

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

The square root of 11877228 is about 3446.3354450779. The cubic root of 11877228 is about 228.1593991537.

11877228 divided by its sum of digits (36) gives a palindrome (329923).

The spelling of 11877228 in words is "eleven million, eight hundred seventy-seven thousand, two hundred twenty-eight".