214669728 has 144 divisors (see below), whose sum is σ = 751435776. Its totient is φ = 56609280.

The previous prime is 214669703. The next prime is 214669747. The reversal of 214669728 is 827966412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22113 + ... + 30303.

It is an arithmetic number, because the mean of its divisors is an integer number (5218304).

Almost surely, 2^214669728 is an apocalyptic number.

214669728 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 214669728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375717888).

214669728 is an abundant number, since it is smaller than the sum of its proper divisors (536766048).

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

214669728 is a wasteful number, since it uses less digits than its factorization.

214669728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8216 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 214669728 is about 14651.6117884689. The cubic root of 214669728 is about 598.7657293677.

The spelling of 214669728 in words is "two hundred fourteen million, six hundred sixty-nine thousand, seven hundred twenty-eight".