214211328 has 144 divisors (see below), whose sum is σ = 607117056. Its totient is φ = 66908160.

The previous prime is 214211317. The next prime is 214211353. The reversal of 214211328 is 823112412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214211298 and 214211307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183398 + ... + 1183578.

Almost surely, 2^214211328 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 214211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303558528).

214211328 is an abundant number, since it is smaller than the sum of its proper divisors (392905728).

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

214211328 is a wasteful number, since it uses less digits than its factorization.

214211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 214211328 is about 14635.9600983331. The cubic root of 214211328 is about 598.3392295327.

The spelling of 214211328 in words is "two hundred fourteen million, two hundred eleven thousand, three hundred twenty-eight".