214313328 has 60 divisors (see below), whose sum is σ = 602217408. Its totient is φ = 71147520.

The previous prime is 214313317. The next prime is 214313329. The reversal of 214313328 is 823313412.

214313328 is a `hidden beast` number, since 21 + 4 + 313 + 328 = 666.

It is a super-3 number, since 3×214313328³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214313329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34113 + ... + 39903.

Almost surely, 2^214313328 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 214313328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301108704).

214313328 is an abundant number, since it is smaller than the sum of its proper divisors (387904080).

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

214313328 is a wasteful number, since it uses less digits than its factorization.

214313328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6053 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 214313328 is about 14639.4442517467. Note that the first 3 decimals coincide. The cubic root of 214313328 is about 598.4341839213.

The spelling of 214313328 in words is "two hundred fourteen million, three hundred thirteen thousand, three hundred twenty-eight".