211328832 has 224 divisors, whose sum is σ = 675924480. Its totient is φ = 57415680.

The previous prime is 211328753. The next prime is 211328857. The reversal of 211328832 is 238823112.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 211328832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180519 + ... + 1180697.

It is an arithmetic number, because the mean of its divisors is an integer number (3017520).

Almost surely, 2^211328832 is an apocalyptic number.

211328832 is a gapful number since it is divisible by the number (22) 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 211328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337962240).

211328832 is an abundant number, since it is smaller than the sum of its proper divisors (464595648).

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

211328832 is a wasteful number, since it uses less digits than its factorization.

211328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 211328832 is about 14537.1535040392. The cubic root of 211328832 is about 595.6432860866.

The spelling of 211328832 in words is "two hundred eleven million, three hundred twenty-eight thousand, eight hundred thirty-two".