216313728 has 64 divisors (see below), whose sum is σ = 576357120. Its totient is φ = 71882240.

The previous prime is 216313717. The next prime is 216313759. The reversal of 216313728 is 827313612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164851 + ... + 166157.

It is an arithmetic number, because the mean of its divisors is an integer number (9005580).

Almost surely, 2^216313728 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 216313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288178560).

216313728 is an abundant number, since it is smaller than the sum of its proper divisors (360043392).

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

216313728 is a wasteful number, since it uses less digits than its factorization.

216313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1743 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 216313728 is about 14707.6078272437. The cubic root of 216313728 is about 600.2903483626.

The spelling of 216313728 in words is "two hundred sixteen million, three hundred thirteen thousand, seven hundred twenty-eight".