214835328 has 96 divisors (see below), whose sum is σ = 641200560. Its totient is φ = 71601408.

The previous prime is 214835323. The next prime is 214835333. The reversal of 214835328 is 823538412.

It is an interprime number because it is at equal distance from previous prime (214835323) and next prime (214835333).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214835292 and 214835301.

It is not an unprimeable number, because it can be changed into a prime (214835321) 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, 27651 + ... + 34557.

Almost surely, 2^214835328 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 214835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320600280).

214835328 is an abundant number, since it is smaller than the sum of its proper divisors (426365232).

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

214835328 is an frugal number, since it uses more digits than its factorization.

214835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6912 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 214835328 is about 14657.2619544034. The cubic root of 214835328 is about 598.9196559287.

The spelling of 214835328 in words is "two hundred fourteen million, eight hundred thirty-five thousand, three hundred twenty-eight".