328477968 has 180 divisors, whose sum is σ = 1151949708. Its totient is φ = 86607360.

The previous prime is 328477967. The next prime is 328477969. The reversal of 328477968 is 869774823.

It is an interprime number because it is at equal distance from previous prime (328477967) and next prime (328477969).

It can be written as a sum of positive squares in 2 ways, for example, as 173923344 + 154554624 = 13188^2 + 12432^2 .

It is a super-2 number, since 2×328477968² = 215795550922818048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (328477967) 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 35 ways as a sum of consecutive naturals, for example, 89938 + ... + 93518.

Almost surely, 2^328477968 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 328477968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575974854).

328477968 is an abundant number, since it is smaller than the sum of its proper divisors (823471740).

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

328477968 is a wasteful number, since it uses less digits than its factorization.

328477968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3606 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 328477968 is about 18123.9611564360. The cubic root of 328477968 is about 689.9782727878.

The spelling of 328477968 in words is "three hundred twenty-eight million, four hundred seventy-seven thousand, nine hundred sixty-eight".