11628041004 has 108 divisors (see below), whose sum is σ = 31298156344. Its totient is φ = 3639333888.

The previous prime is 11628040961. The next prime is 11628041011. The reversal of 11628041004 is 40014082611.

It is a happy number.

11628041004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11628041004² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5440224 + ... + 5442360.

Almost surely, 2^11628041004 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 11628041004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649078172).

11628041004 is an abundant number, since it is smaller than the sum of its proper divisors (19670115340).

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

11628041004 is a wasteful number, since it uses less digits than its factorization.

11628041004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 11628041004 in words is "eleven billion, six hundred twenty-eight million, forty-one thousand, four".