211828896 has 144 divisors (see below), whose sum is σ = 636382656. Its totient is φ = 66705408.

The previous prime is 211828849. The next prime is 211828901. The reversal of 211828896 is 698828112.

It is a happy number.

211828896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 748371 + ... + 748653.

It is an arithmetic number, because the mean of its divisors is an integer number (4419324).

Almost surely, 2^211828896 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 211828896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318191328).

211828896 is an abundant number, since it is smaller than the sum of its proper divisors (424553760).

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

211828896 is a wasteful number, since it uses less digits than its factorization.

211828896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 211828896 is about 14554.3428570307. The cubic root of 211828896 is about 596.1127363576.

The spelling of 211828896 in words is "two hundred eleven million, eight hundred twenty-eight thousand, eight hundred ninety-six".