12928452768 has 480 divisors, whose sum is σ = 47784135168. Its totient is φ = 3331238400.

The previous prime is 12928452709. The next prime is 12928452787. The reversal of 12928452768 is 86725482921.

12928452768 is a `hidden beast` number, since 1 + 292 + 84 + 5 + 276 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42112071 + ... + 42112377.

Almost surely, 2^12928452768 is an apocalyptic number.

12928452768 is a gapful number since it is divisible by the number (18) 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 12928452768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23892067584).

12928452768 is an abundant number, since it is smaller than the sum of its proper divisors (34855682400).

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

12928452768 is a wasteful number, since it uses less digits than its factorization.

12928452768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 541 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 12928452768 in words is "twelve billion, nine hundred twenty-eight million, four hundred fifty-two thousand, seven hundred sixty-eight".