328987072512 has 576 divisors, whose sum is σ = 1173640104000. Its totient is φ = 88438210560.

The previous prime is 328987072511. The next prime is 328987072573. The reversal of 328987072512 is 215270789823.

328987072512 is a `hidden beast` number, since 32 + 8 + 98 + 7 + 0 + 7 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328987072511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107475462 + ... + 107478522.

It is an arithmetic number, because the mean of its divisors is an integer number (2037569625).

Almost surely, 2^328987072512 is an apocalyptic number.

328987072512 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 328987072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586820052000).

328987072512 is an abundant number, since it is smaller than the sum of its proper divisors (844653031488).

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

328987072512 is a wasteful number, since it uses less digits than its factorization.

328987072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 328987072512 in words is "three hundred twenty-eight billion, nine hundred eighty-seven million, seventy-two thousand, five hundred twelve".