211128672 has 48 divisors (see below), whose sum is σ = 555009840. Its totient is φ = 70275072.

The previous prime is 211128649. The next prime is 211128691. The reversal of 211128672 is 276821112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×211128672³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 98104 + ... + 100232.

It is an arithmetic number, because the mean of its divisors is an integer number (11562705).

Almost surely, 2^211128672 is an apocalyptic number.

It is an amenable number.

211128672 is an abundant number, since it is smaller than the sum of its proper divisors (343881168).

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

211128672 is a wasteful number, since it uses less digits than its factorization.

211128672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3167 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 211128672 is about 14530.2674442007. The cubic root of 211128672 is about 595.4551722677.

Adding to 211128672 its reverse (276821112), we get a palindrome (487949784).

The spelling of 211128672 in words is "two hundred eleven million, one hundred twenty-eight thousand, six hundred seventy-two".