12728883456 has 144 divisors (see below), whose sum is σ = 37697083200. Its totient is φ = 4236705792.

The previous prime is 12728883451. The next prime is 12728883469. The reversal of 12728883456 is 65438882721.

12728883456 is a `hidden beast` number, since 12 + 7 + 288 + 8 + 345 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (12728883451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9033280 + ... + 9034688.

It is an arithmetic number, because the mean of its divisors is an integer number (261785300).

Almost surely, 2^12728883456 is an apocalyptic number.

12728883456 is a gapful number since it is divisible by the number (16) 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 12728883456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18848541600).

12728883456 is an abundant number, since it is smaller than the sum of its proper divisors (24968199744).

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

12728883456 is a wasteful number, since it uses less digits than its factorization.

12728883456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2721 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 12728883456 in words is "twelve billion, seven hundred twenty-eight million, eight hundred eighty-three thousand, four hundred fifty-six".