12928849920 has 576 divisors, whose sum is σ = 52383240000. Its totient is φ = 2947940352.

The previous prime is 12928849883. The next prime is 12928849933. The reversal of 12928849920 is 2994882921.

12928849920 is a `hidden beast` number, since 129 + 2 + 8 + 8 + 499 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31610676 + ... + 31611084.

It is an arithmetic number, because the mean of its divisors is an integer number (90943125).

Almost surely, 2^12928849920 is an apocalyptic number.

12928849920 is a gapful number since it is divisible by the number (10) 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 12928849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26191620000).

12928849920 is an abundant number, since it is smaller than the sum of its proper divisors (39454390080).

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

12928849920 is an equidigital number, since it uses as much as digits as its factorization.

12928849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12928849920 in words is "twelve billion, nine hundred twenty-eight million, eight hundred forty-nine thousand, nine hundred twenty".