11200508928 has 440 divisors, whose sum is σ = 38805617664. Its totient is φ = 3151872000.

The previous prime is 11200508867. The next prime is 11200508933. The reversal of 11200508928 is 82980500211.

11200508928 is a `hidden beast` number, since 1 + 120 + 0 + 508 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11200508892 and 11200508901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58641313 + ... + 58641503.

Almost surely, 2^11200508928 is an apocalyptic number.

11200508928 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 11200508928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19402808832).

11200508928 is an abundant number, since it is smaller than the sum of its proper divisors (27605108736).

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

11200508928 is a wasteful number, since it uses less digits than its factorization.

11200508928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11200508928 in words is "eleven billion, two hundred million, five hundred eight thousand, nine hundred twenty-eight".