217433980728 has 96 divisors (see below), whose sum is σ = 614807107200. Its totient is φ = 69290700864.

The previous prime is 217433980679. The next prime is 217433980733. The reversal of 217433980728 is 827089334712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3244051 + ... + 3310397.

It is an arithmetic number, because the mean of its divisors is an integer number (6404240700).

Almost surely, 2^217433980728 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 217433980728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307403553600).

217433980728 is an abundant number, since it is smaller than the sum of its proper divisors (397373126472).

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

217433980728 is a wasteful number, since it uses less digits than its factorization.

217433980728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68361 (or 68354 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 217433980728 in words is "two hundred seventeen billion, four hundred thirty-three million, nine hundred eighty thousand, seven hundred twenty-eight".