211728000 has 256 divisors, whose sum is σ = 767594880. Its totient is φ = 51200000.

The previous prime is 211727981. The next prime is 211728029. The reversal of 211728000 is 827112.

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 31 ways as a sum of consecutive naturals, for example, 527800 + ... + 528200.

Almost surely, 2^211728000 is an apocalyptic number.

211728000 is a gapful number since it is divisible by the number (20) 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 211728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383797440).

211728000 is an abundant number, since it is smaller than the sum of its proper divisors (555866880).

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

211728000 is a wasteful number, since it uses less digits than its factorization.

211728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 211728000 is about 14550.8762622737. The cubic root of 211728000 is about 596.0180767155.

The spelling of 211728000 in words is "two hundred eleven million, seven hundred twenty-eight thousand".