11861928 has 192 divisors, whose sum is σ = 39312000. Its totient is φ = 3193344.

The previous prime is 11861921. The next prime is 11861953. The reversal of 11861928 is 82916811.

11861928 is a `hidden beast` number, since 1 + 18 + 619 + 28 = 666.

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.

Its product of digits (6912) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11861892 and 11861901.

It is not an unprimeable number, because it can be changed into a prime (11861921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409018 + ... + 409046.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 2^11861928 is an apocalyptic number.

11861928 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 11861928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

11861928 is an abundant number, since it is smaller than the sum of its proper divisors (27450072).

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

11861928 is a wasteful number, since it uses less digits than its factorization.

11861928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11861928 is about 3444.1149806590. The cubic root of 11861928 is about 228.0613869794.

The spelling of 11861928 in words is "eleven million, eight hundred sixty-one thousand, nine hundred twenty-eight".