211048128 has 84 divisors (see below), whose sum is σ = 619072168. Its totient is φ = 68705280.

The previous prime is 211048091. The next prime is 211048129. The reversal of 211048128 is 821840112.

It is not an unprimeable number, because it can be changed into a prime (211048129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20508 + ... + 29028.

Almost surely, 2^211048128 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 211048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309536084).

211048128 is an abundant number, since it is smaller than the sum of its proper divisors (408024040).

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

211048128 is a wasteful number, since it uses less digits than its factorization.

211048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8569 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 211048128 is about 14527.4955859570. The cubic root of 211048128 is about 595.3794420805.

The spelling of 211048128 in words is "two hundred eleven million, forty-eight thousand, one hundred twenty-eight".