328020000 has 480 divisors, whose sum is σ = 1360364544. Its totient is φ = 67200000.

The previous prime is 328019977. The next prime is 328020013. The reversal of 328020000 is 20823.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4619965 + ... + 4620035.

Almost surely, 2^328020000 is an apocalyptic number.

328020000 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 328020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680182272).

328020000 is an abundant number, since it is smaller than the sum of its proper divisors (1032344544).

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

328020000 is a wasteful number, since it uses less digits than its factorization.

328020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 328020000 is about 18111.3224254884. The cubic root of 328020000 is about 689.6574649349.

Adding to 328020000 its reverse (20823), we get a palindrome (328040823).

The spelling of 328020000 in words is "three hundred twenty-eight million, twenty thousand".