214841728 has 32 divisors (see below), whose sum is σ = 432837000. Its totient is φ = 106208256.

The previous prime is 214841719. The next prime is 214841729. The reversal of 214841728 is 827148412.

It is a happy number.

214841728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214841729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1963 + ... + 20821.

Almost surely, 2^214841728 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 214841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216418500).

214841728 is an abundant number, since it is smaller than the sum of its proper divisors (217995272).

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

214841728 is an equidigital number, since it uses as much as digits as its factorization.

214841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18962 (or 18950 counting only the distinct ones).

The product of its digits is 28672, while the sum is 37.

The square root of 214841728 is about 14657.4802745902. The cubic root of 214841728 is about 598.9256031934.

The spelling of 214841728 in words is "two hundred fourteen million, eight hundred forty-one thousand, seven hundred twenty-eight".