328138020 has 192 divisors, whose sum is σ = 1192181760. Its totient is φ = 73367424.

The previous prime is 328138001. The next prime is 328138039. The reversal of 328138020 is 20831823.

328138020 is a `hidden beast` number, since 3 + 281 + 380 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (328138001) and next prime (328138039).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176737 + ... + 178583.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2^328138020 is an apocalyptic number.

328138020 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 328138020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596090880).

328138020 is an abundant number, since it is smaller than the sum of its proper divisors (864043740).

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

328138020 is a wasteful number, since it uses less digits than its factorization.

328138020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 328138020 is about 18114.5803153151. The cubic root of 328138020 is about 689.7401668172.

Adding to 328138020 its reverse (20831823), we get a palindrome (348969843).

The spelling of 328138020 in words is "three hundred twenty-eight million, one hundred thirty-eight thousand, twenty".