328611658752 has 704 divisors, whose sum is σ = 1105749442560. Its totient is φ = 95647039488.

The previous prime is 328611658747. The next prime is 328611658763. The reversal of 328611658752 is 257856116823.

328611658752 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 1 + 1 + 6 + 587 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1049877348 + ... + 1049877660.

Almost surely, 2^328611658752 is an apocalyptic number.

328611658752 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 328611658752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552874721280).

328611658752 is an abundant number, since it is smaller than the sum of its proper divisors (777137783808).

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

328611658752 is a wasteful number, since it uses less digits than its factorization.

328611658752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 481 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 328611658752 in words is "three hundred twenty-eight billion, six hundred eleven million, six hundred fifty-eight thousand, seven hundred fifty-two".