328713792 has 224 divisors, whose sum is σ = 1014764544. Its totient is φ = 92928000.

The previous prime is 328713767. The next prime is 328713793. The reversal of 328713792 is 297317823.

It is not an unprimeable number, because it can be changed into a prime (328713793) 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 31 ways as a sum of consecutive naturals, for example, 3254542 + ... + 3254642.

Almost surely, 2^328713792 is an apocalyptic number.

328713792 is a gapful number since it is divisible by the number (32) 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 328713792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507382272).

328713792 is an abundant number, since it is smaller than the sum of its proper divisors (686050752).

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

328713792 is a wasteful number, since it uses less digits than its factorization.

328713792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 328713792 is about 18130.4658517094. The cubic root of 328713792 is about 690.1433518582.

It can be divided in two parts, 32871 and 3792, that added together give a palindrome (36663).

The spelling of 328713792 in words is "three hundred twenty-eight million, seven hundred thirteen thousand, seven hundred ninety-two".