329509652628 has 96 divisors (see below), whose sum is σ = 864317325312. Its totient is φ = 96943651200.

The previous prime is 329509652609. The next prime is 329509652657. The reversal of 329509652628 is 826256905923.

It is a super-2 number, since 2×329509652628² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10644493 + ... + 10675403.

It is an arithmetic number, because the mean of its divisors is an integer number (9003305472).

Almost surely, 2^329509652628 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 329509652628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432158662656).

329509652628 is an abundant number, since it is smaller than the sum of its proper divisors (534807672684).

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

329509652628 is a wasteful number, since it uses less digits than its factorization.

329509652628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33925 (or 33923 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 329509652628 in words is "three hundred twenty-nine billion, five hundred nine million, six hundred fifty-two thousand, six hundred twenty-eight".