328050000 has 270 divisors, whose sum is σ = 1191607326. Its totient is φ = 87480000.

The previous prime is 328049999. The next prime is 328050007. The reversal of 328050000 is 50823.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 151585344 + 176464656 = 12312^2 + 13284^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328050007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 65609998 + ... + 65610002.

Almost surely, 2^328050000 is an apocalyptic number.

328050000 is a gapful number since it is divisible by the number (30) 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 328050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595803663).

328050000 is an abundant number, since it is smaller than the sum of its proper divisors (863557326).

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

328050000 is an frugal number, since it uses more digits than its factorization.

328050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 328050000 is about 18112.1506177483. The cubic root of 328050000 is about 689.6784891542.

Multiplying 328050000 by its sum of digits (18), we get a 5-th power (5904900000 = 90⁵).

The spelling of 328050000 in words is "three hundred twenty-eight million, fifty thousand".