216828612 has 216 divisors, whose sum is σ = 742833728. Its totient is φ = 51891840.

The previous prime is 216828611. The next prime is 216828617.

216828612 is a `hidden beast` number, since 2 + 16 + 8 + 28 + 612 = 666.

216828612 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216828611) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 396123 + ... + 396669.

Almost surely, 2^216828612 is an apocalyptic number.

216828612 is a gapful number since it is divisible by the number (22) 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 216828612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371416864).

216828612 is an abundant number, since it is smaller than the sum of its proper divisors (526005116).

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

216828612 is a wasteful number, since it uses less digits than its factorization.

216828612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 583 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 216828612 is about 14725.1014257967. The cubic root of 216828612 is about 600.7662543406.

It can be divided in two parts, 216 and 828612, that added together give a palindrome (828828).

The spelling of 216828612 in words is "two hundred sixteen million, eight hundred twenty-eight thousand, six hundred twelve".