12728963520 has 672 divisors, whose sum is σ = 57075677568. Its totient is φ = 2526806016.

The previous prime is 12728963431. The next prime is 12728963539. The reversal of 12728963520 is 2536982721.

12728963520 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 8 + 9 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4453932 + ... + 4456788.

It is an arithmetic number, because the mean of its divisors is an integer number (84934044).

Almost surely, 2^12728963520 is an apocalyptic number.

12728963520 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 12728963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28537838784).

12728963520 is an abundant number, since it is smaller than the sum of its proper divisors (44346714048).

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

12728963520 is a wasteful number, since it uses less digits than its factorization.

12728963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12728963520 in words is "twelve billion, seven hundred twenty-eight million, nine hundred sixty-three thousand, five hundred twenty".