328844736 has 336 divisors, whose sum is σ = 1129759488. Its totient is φ = 90316800.

The previous prime is 328844729. The next prime is 328844767. The reversal of 328844736 is 637448823.

It is a junction number, because it is equal to n+sod(n) for n = 328844691 and 328844700.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4631581 + ... + 4631651.

Almost surely, 2^328844736 is an apocalyptic number.

328844736 is a gapful number since it is divisible by the number (36) 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 328844736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564879744).

328844736 is an abundant number, since it is smaller than the sum of its proper divisors (800914752).

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

328844736 is a wasteful number, since it uses less digits than its factorization.

328844736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 328844736 is about 18134.0766514317. The cubic root of 328844736 is about 690.2349798298.

The spelling of 328844736 in words is "three hundred twenty-eight million, eight hundred forty-four thousand, seven hundred thirty-six".