328267008 has 216 divisors, whose sum is σ = 1040293800. Its totient is φ = 99434496.

The previous prime is 328267003. The next prime is 328267013. The reversal of 328267008 is 800762823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (328267003) and next prime (328267013).

It can be written as a sum of positive squares in 4 ways, for example, as 63489024 + 264777984 = 7968^2 + 16272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328267003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11319538 + ... + 11319566.

It is an arithmetic number, because the mean of its divisors is an integer number (4816175).

Almost surely, 2^328267008 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 328267008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520146900).

328267008 is an abundant number, since it is smaller than the sum of its proper divisors (712026792).

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

328267008 is an equidigital number, since it uses as much as digits as its factorization.

328267008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 328267008 is about 18118.1403019184. The cubic root of 328267008 is about 689.8305317899.

The spelling of 328267008 in words is "three hundred twenty-eight million, two hundred sixty-seven thousand, eight".