11180642928 has 320 divisors, whose sum is σ = 36747648000. Its totient is φ = 2850693120.

The previous prime is 11180642923. The next prime is 11180642947. The reversal of 11180642928 is 82924608111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11180642928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11180642923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26683903 + ... + 26684321.

It is an arithmetic number, because the mean of its divisors is an integer number (114836400).

Almost surely, 2^11180642928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11180642928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824000).

11180642928 is an abundant number, since it is smaller than the sum of its proper divisors (25567005072).

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

11180642928 is a wasteful number, since it uses less digits than its factorization.

11180642928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 11180642928 in words is "eleven billion, one hundred eighty million, six hundred forty-two thousand, nine hundred twenty-eight".