328600685952 has 960 divisors, whose sum is σ = 1253457469440. Its totient is φ = 84495882240.

The previous prime is 328600685929. The next prime is 328600685953. The reversal of 328600685952 is 259586006823.

328600685952 is a `hidden beast` number, since 3 + 28 + 600 + 6 + 8 + 5 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328600685953) 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 119 ways as a sum of consecutive naturals, for example, 709720473 + ... + 709720935.

It is an arithmetic number, because the mean of its divisors is an integer number (1305684864).

Almost surely, 2^328600685952 is an apocalyptic number.

328600685952 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 328600685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626728734720).

328600685952 is an abundant number, since it is smaller than the sum of its proper divisors (924856783488).

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

328600685952 is a wasteful number, since it uses less digits than its factorization.

328600685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 328600685952 in words is "three hundred twenty-eight billion, six hundred million, six hundred eighty-five thousand, nine hundred fifty-two".