214729328 has 40 divisors (see below), whose sum is σ = 455435136. Its totient is φ = 97265600.

The previous prime is 214729327. The next prime is 214729337. The reversal of 214729328 is 823927412.

214729328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214729328² = 92217368606663168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214729291 and 214729300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214729327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52775 + ... + 56697.

Almost surely, 2^214729328 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 214729328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227717568).

214729328 is an abundant number, since it is smaller than the sum of its proper divisors (240705808).

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

214729328 is a wasteful number, since it uses less digits than its factorization.

214729328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4247 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 214729328 is about 14653.6455532403. The cubic root of 214729328 is about 598.8211371728.

The spelling of 214729328 in words is "two hundred fourteen million, seven hundred twenty-nine thousand, three hundred twenty-eight".