216047328 has 96 divisors (see below), whose sum is σ = 682295040. Its totient is φ = 58475520.

The previous prime is 216047317. The next prime is 216047333. The reversal of 216047328 is 823740612.

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

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 15 ways as a sum of consecutive naturals, for example, 4308 + ... + 21228.

It is an arithmetic number, because the mean of its divisors is an integer number (7107240).

Almost surely, 2^216047328 is an apocalyptic number.

216047328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216047328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341147520).

216047328 is an abundant number, since it is smaller than the sum of its proper divisors (466247712).

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

216047328 is a wasteful number, since it uses less digits than its factorization.

216047328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16960 (or 16952 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 216047328 is about 14698.5484997669. The cubic root of 216047328 is about 600.0438190220.

The spelling of 216047328 in words is "two hundred sixteen million, forty-seven thousand, three hundred twenty-eight".