216085428 has 72 divisors (see below), whose sum is σ = 606681600. Its totient is φ = 66482208.

The previous prime is 216085427. The next prime is 216085459. The reversal of 216085428 is 824580612.

216085428 is a `hidden beast` number, since 2 + 1 + 608 + 5 + 42 + 8 = 666.

216085428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 216085392 and 216085401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216085427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12333 + ... + 24171.

Almost surely, 2^216085428 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 216085428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303340800).

216085428 is an abundant number, since it is smaller than the sum of its proper divisors (390596172).

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

216085428 is a wasteful number, since it uses less digits than its factorization.

216085428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 216085428 is about 14699.8444889733. The cubic root of 216085428 is about 600.0790895743.

The spelling of 216085428 in words is "two hundred sixteen million, eighty-five thousand, four hundred twenty-eight".