212041728 has 96 divisors (see below), whose sum is σ = 613407600. Its totient is φ = 70582272.

The previous prime is 212041721. The next prime is 212041741. The reversal of 212041728 is 827140212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212041721) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 294553 + ... + 295271.

Almost surely, 2^212041728 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 212041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306703800).

212041728 is an abundant number, since it is smaller than the sum of its proper divisors (401365872).

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

212041728 is an frugal number, since it uses more digits than its factorization.

212041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 212041728 is about 14561.6526534594. The cubic root of 212041728 is about 596.3123147298.

The spelling of 212041728 in words is "two hundred twelve million, forty-one thousand, seven hundred twenty-eight".