214997328 has 200 divisors, whose sum is σ = 766284288. Its totient is φ = 56671488.

The previous prime is 214997323. The next prime is 214997339. The reversal of 214997328 is 823799412.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214997323) 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 39 ways as a sum of consecutive naturals, for example, 117025 + ... + 118847.

Almost surely, 2^214997328 is an apocalyptic number.

214997328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214997328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383142144).

214997328 is an abundant number, since it is smaller than the sum of its proper divisors (551286960).

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

214997328 is a wasteful number, since it uses less digits than its factorization.

214997328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1848 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 214997328 is about 14662.7871838883. The cubic root of 214997328 is about 599.0701597395.

The spelling of 214997328 in words is "two hundred fourteen million, nine hundred ninety-seven thousand, three hundred twenty-eight".