211328 has 32 divisors (see below), whose sum is σ = 456960. Its totient is φ = 96768.

The previous prime is 211319. The next prime is 211333. The reversal of 211328 is 823112.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

211328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1601 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2²¹¹³²⁸ 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 211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480).

211328 is an abundant number, since it is smaller than the sum of its proper divisors (245632).

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

211328 is a wasteful number, since it uses less digits than its factorization.

211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 211328 is about 459.7042527539. The cubic root of 211328 is about 59.5642504405.

The spelling of 211328 in words is "two hundred eleven thousand, three hundred twenty-eight".