328946760 has 96 divisors (see below), whose sum is σ = 1083808440. Its totient is φ = 86510592.

The previous prime is 328946743. The next prime is 328946767. The reversal of 328946760 is 67649823.

It can be written as a sum of positive squares in 4 ways, for example, as 320338404 + 8608356 = 17898^2 + 2934^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (328946767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20022 + ... + 32538.

Almost surely, 2^328946760 is an apocalyptic number.

328946760 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 328946760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541904220).

328946760 is an abundant number, since it is smaller than the sum of its proper divisors (754861680).

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

328946760 is a wasteful number, since it uses less digits than its factorization.

328946760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12607 (or 12600 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 328946760 is about 18136.8894797316. The cubic root of 328946760 is about 690.3063541943.

The spelling of 328946760 in words is "three hundred twenty-eight million, nine hundred forty-six thousand, seven hundred sixty".