328448448 has 168 divisors, whose sum is σ = 980694000. Its totient is φ = 105025536.

The previous prime is 328448443. The next prime is 328448453. The reversal of 328448448 is 844844823.

It is an interprime number because it is at equal distance from previous prime (328448443) and next prime (328448453).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328448443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2204278 + ... + 2204426.

Almost surely, 2^328448448 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 328448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490347000).

328448448 is an abundant number, since it is smaller than the sum of its proper divisors (652245552).

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

328448448 is a wasteful number, since it uses less digits than its factorization.

328448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 328448448 is about 18123.1467466332. The cubic root of 328448448 is about 689.9576029400.

The spelling of 328448448 in words is "three hundred twenty-eight million, four hundred forty-eight thousand, four hundred forty-eight".