11143241928 has 320 divisors, whose sum is σ = 38815096320. Its totient is φ = 2908224000.

The previous prime is 11143241911. The next prime is 11143241929. The reversal of 11143241928 is 82914234111.

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 junction number, because it is equal to n+sod(n) for n = 11143241892 and 11143241901.

It is not an unprimeable number, because it can be changed into a prime (11143241929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5954833 + ... + 5956703.

It is an arithmetic number, because the mean of its divisors is an integer number (121297176).

Almost surely, 2^11143241928 is an apocalyptic number.

11143241928 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 11143241928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19407548160).

11143241928 is an abundant number, since it is smaller than the sum of its proper divisors (27671854392).

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

11143241928 is a wasteful number, since it uses less digits than its factorization.

11143241928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1997 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 11143241928 in words is "eleven billion, one hundred forty-three million, two hundred forty-one thousand, nine hundred twenty-eight".