329328216 has 288 divisors, whose sum is σ = 1160406000. Its totient is φ = 83897856.

The previous prime is 329328211. The next prime is 329328227. The reversal of 329328216 is 612823923.

329328216 is a `hidden beast` number, since 329 + 328 + 2 + 1 + 6 = 666.

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.

Its product of digits (31104) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329328211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17333055 + ... + 17333073.

Almost surely, 2^329328216 is an apocalyptic number.

329328216 is a gapful number since it is divisible by the number (36) 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 329328216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580203000).

329328216 is an abundant number, since it is smaller than the sum of its proper divisors (831077784).

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

329328216 is a wasteful number, since it uses less digits than its factorization.

329328216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 329328216 is about 18147.4024587543. The cubic root of 329328216 is about 690.5730840659.

The spelling of 329328216 in words is "three hundred twenty-nine million, three hundred twenty-eight thousand, two hundred sixteen".