12328928352 has 480 divisors, whose sum is σ = 40871964672. Its totient is φ = 3621252096.

The previous prime is 12328928351. The next prime is 12328928357. The reversal of 12328928352 is 25382982321.

12328928352 is a `hidden beast` number, since 12 + 3 + 289 + 2 + 8 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12328928298 and 12328928307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12328928351) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97078113 + ... + 97078239.

Almost surely, 2^12328928352 is an apocalyptic number.

12328928352 is a gapful number since it is divisible by the number (12) 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 12328928352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20435982336).

12328928352 is an abundant number, since it is smaller than the sum of its proper divisors (28543036320).

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

12328928352 is a wasteful number, since it uses less digits than its factorization.

12328928352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 12328928352 in words is "twelve billion, three hundred twenty-eight million, nine hundred twenty-eight thousand, three hundred fifty-two".