211809728928 has 192 divisors, whose sum is σ = 644823970560. Its totient is φ = 59624128512.

The previous prime is 211809728899. The next prime is 211809728951. The reversal of 211809728928 is 829827908112.

211809728928 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-3 number, since 3×211809728928³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63623968 + ... + 63627296.

It is an arithmetic number, because the mean of its divisors is an integer number (3358458180).

Almost surely, 2^211809728928 is an apocalyptic number.

211809728928 is a gapful number since it is divisible by the number (28) 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 211809728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322411985280).

211809728928 is an abundant number, since it is smaller than the sum of its proper divisors (433014241632).

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

211809728928 is a wasteful number, since it uses less digits than its factorization.

211809728928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 57.

The spelling of 211809728928 in words is "two hundred eleven billion, eight hundred nine million, seven hundred twenty-eight thousand, nine hundred twenty-eight".