211033728 has 128 divisors (see below), whose sum is σ = 627912000. Its totient is φ = 69774336.

The previous prime is 211033673. The next prime is 211033759. The reversal of 211033728 is 827330112.

211033728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 14527²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784378 + ... + 784646.

Almost surely, 2^211033728 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 211033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313956000).

211033728 is an abundant number, since it is smaller than the sum of its proper divisors (416878272).

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

211033728 is a wasteful number, since it uses less digits than its factorization.

211033728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 211033728 is about 14526.9999655813. Note that the first 4 decimals coincide. The cubic root of 211033728 is about 595.3659006843.

The spelling of 211033728 in words is "two hundred eleven million, thirty-three thousand, seven hundred twenty-eight".