329628663 has 128 divisors (see below), whose sum is σ = 662323200. Its totient is φ = 157044096.

The previous prime is 329628641. The next prime is 329628697. The reversal of 329628663 is 366826923.

It is not a de Polignac number, because 329628663 - 2⁶ = 329628599 is a prime.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (329628613) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1073556 + ... + 1073862.

It is an arithmetic number, because the mean of its divisors is an integer number (5174400).

Almost surely, 2^329628663 is an apocalyptic number.

329628663 is an abundant number, since it is smaller than the sum of its proper divisors (332694537).

329628663 is a wasteful number, since it uses less digits than its factorization.

329628663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 329628663 is about 18155.6785331752. The cubic root of 329628663 is about 690.7830241178.

The spelling of 329628663 in words is "three hundred twenty-nine million, six hundred twenty-eight thousand, six hundred sixty-three".