216572928 has 352 divisors, whose sum is σ = 742815360. Its totient is φ = 55050240.

The previous prime is 216572869. The next prime is 216572929. The reversal of 216572928 is 829275612.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 216572928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216572929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7468018 + ... + 7468046.

Almost surely, 2^216572928 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 216572928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371407680).

216572928 is an abundant number, since it is smaller than the sum of its proper divisors (526242432).

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

216572928 is a wasteful number, since it uses less digits than its factorization.

216572928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 216572928 is about 14716.4169552238. The cubic root of 216572928 is about 600.5300205481.

The spelling of 216572928 in words is "two hundred sixteen million, five hundred seventy-two thousand, nine hundred twenty-eight".