328364928 has 288 divisors, whose sum is σ = 1084084560. Its totient is φ = 98537472.

The previous prime is 328364921. The next prime is 328364957. The reversal of 328364928 is 829463823.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328364921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14276725 + ... + 14276747.

Almost surely, 2^328364928 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 328364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542042280).

328364928 is an abundant number, since it is smaller than the sum of its proper divisors (755719632).

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

328364928 is an frugal number, since it uses more digits than its factorization.

328364928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 328364928 is about 18120.8423645260. The cubic root of 328364928 is about 689.8991156853.

The spelling of 328364928 in words is "three hundred twenty-eight million, three hundred sixty-four thousand, nine hundred twenty-eight".