328283280 has 280 divisors, whose sum is σ = 1235238648. Its totient is φ = 80621568.

The previous prime is 328283261. The next prime is 328283281. The reversal of 328283280 is 82382823.

328283280 is a `hidden beast` number, since 328 + 2 + 8 + 328 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 325297296 = 1728^2 + 18036^2 .

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

It is not an unprimeable number, because it can be changed into a prime (328283281) 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 55 ways as a sum of consecutive naturals, for example, 757944 + ... + 758376.

Almost surely, 2^328283280 is an apocalyptic number.

328283280 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 328283280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617619324).

328283280 is an abundant number, since it is smaller than the sum of its proper divisors (906955368).

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

328283280 is a wasteful number, since it uses less digits than its factorization.

328283280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 328283280 is about 18118.5893490636. The cubic root of 328283280 is about 689.8419297644.

The spelling of 328283280 in words is "three hundred twenty-eight million, two hundred eighty-three thousand, two hundred eighty".