214728192 has 240 divisors, whose sum is σ = 741715920. Its totient is φ = 61157376.

The previous prime is 214728187. The next prime is 214728203. The reversal of 214728192 is 291827412.

214728192 is a `hidden beast` number, since 21 + 472 + 81 + 92 = 666.

It is a super-2 number, since 2×214728192² = 92216392879177728, which contains 22 as substring.

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

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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677218 + ... + 677534.

It is an arithmetic number, because the mean of its divisors is an integer number (3090483).

Almost surely, 2^214728192 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 214728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370857960).

214728192 is an abundant number, since it is smaller than the sum of its proper divisors (526987728).

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

214728192 is an equidigital number, since it uses as much as digits as its factorization.

214728192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 214728192 is about 14653.6067915036. The cubic root of 214728192 is about 598.8200811736.

The spelling of 214728192 in words is "two hundred fourteen million, seven hundred twenty-eight thousand, one hundred ninety-two".