216206928 has 320 divisors, whose sum is σ = 771379200. Its totient is φ = 56609280.

The previous prime is 216206891. The next prime is 216206929. The reversal of 216206928 is 829602612.

It is a happy number.

216206928 is a `hidden beast` number, since 2 + 1 + 620 + 6 + 9 + 28 = 666.

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 = 216206892 and 216206901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216206929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3045133 + ... + 3045203.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2^216206928 is an apocalyptic number.

216206928 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 216206928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385689600).

216206928 is an abundant number, since it is smaller than the sum of its proper divisors (555172272).

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

216206928 is a wasteful number, since it uses less digits than its factorization.

216206928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 216206928 is about 14703.9766049868. The cubic root of 216206928 is about 600.1915388483.

The spelling of 216206928 in words is "two hundred sixteen million, two hundred six thousand, nine hundred twenty-eight".