329812128 has 96 divisors (see below), whose sum is σ = 995198400. Its totient is φ = 106138368.

The previous prime is 329812033. The next prime is 329812129. The reversal of 329812128 is 821218923.

It is a tau number, because it is divible by the number of its divisors (96).

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.

It is a junction number, because it is equal to n+sod(n) for n = 329812092 and 329812101.

It is not an unprimeable number, because it can be changed into a prime (329812129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18475 + ... + 31637.

It is an arithmetic number, because the mean of its divisors is an integer number (10366650).

Almost surely, 2^329812128 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 329812128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497599200).

329812128 is an abundant number, since it is smaller than the sum of its proper divisors (665386272).

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

329812128 is a wasteful number, since it uses less digits than its factorization.

329812128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13211 (or 13197 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 329812128 is about 18160.7303817881. The cubic root of 329812128 is about 690.9111592148.

The spelling of 329812128 in words is "three hundred twenty-nine million, eight hundred twelve thousand, one hundred twenty-eight".