328520640 has 448 divisors, whose sum is σ = 1310883840. Its totient is φ = 68014080.

The previous prime is 328520639. The next prime is 328520641. The reversal of 328520640 is 46025823.

It is an interprime number because it is at equal distance from previous prime (328520639) and next prime (328520641).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 328520598 and 328520607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328520641) 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 63 ways as a sum of consecutive naturals, for example, 3958039 + ... + 3958121.

It is an arithmetic number, because the mean of its divisors is an integer number (2926080).

Almost surely, 2^328520640 is an apocalyptic number.

328520640 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 328520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655441920).

328520640 is an abundant number, since it is smaller than the sum of its proper divisors (982363200).

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

328520640 is a wasteful number, since it uses less digits than its factorization.

328520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 328520640 is about 18125.1383442996. The cubic root of 328520640 is about 690.0081494522.

The spelling of 328520640 in words is "three hundred twenty-eight million, five hundred twenty thousand, six hundred forty".