11628404928 has 336 divisors, whose sum is σ = 41248949760. Its totient is φ = 3146356224.

The previous prime is 11628404927. The next prime is 11628404941. The reversal of 11628404928 is 82940482611.

11628404928 is a `hidden beast` number, since 11 + 628 + 4 + 0 + 4 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (11628404927) 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, 4365325 + ... + 4367987.

Almost surely, 2^11628404928 is an apocalyptic number.

11628404928 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 11628404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624474880).

11628404928 is an abundant number, since it is smaller than the sum of its proper divisors (29620544832).

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

11628404928 is a wasteful number, since it uses less digits than its factorization.

11628404928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11628404928 in words is "eleven billion, six hundred twenty-eight million, four hundred four thousand, nine hundred twenty-eight".