211728816 has 240 divisors, whose sum is σ = 682456320. Its totient is φ = 63141120.

The previous prime is 211728793. The next prime is 211728817. The reversal of 211728816 is 618827112.

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 (211728817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2982061 + ... + 2982131.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^211728816 is an apocalyptic number.

211728816 is a gapful number since it is divisible by the number (26) 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 211728816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

211728816 is an abundant number, since it is smaller than the sum of its proper divisors (470727504).

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

211728816 is a wasteful number, since it uses less digits than its factorization.

211728816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 211728816 is about 14550.9043017951. The cubic root of 211728816 is about 596.0188423994.

The spelling of 211728816 in words is "two hundred eleven million, seven hundred twenty-eight thousand, eight hundred sixteen".