12928047631488 has 1024 divisors, whose sum is σ = 45924088320000. Its totient is φ = 3534210662400.

The previous prime is 12928047631483. The next prime is 12928047631537. The reversal of 12928047631488 is 88413674082921.

It is a happy number.

12928047631488 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 80 + 4 + 76 + 3 + 1 + 488 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12928047631483) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4003729458 + ... + 4003732686.

It is an arithmetic number, because the mean of its divisors is an integer number (44847742500).

Almost surely, 2^{12928047631488} is an apocalyptic number.

12928047631488 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 12928047631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22962044160000).

12928047631488 is an abundant number, since it is smaller than the sum of its proper divisors (32996040688512).

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

12928047631488 is a wasteful number, since it uses less digits than its factorization.

12928047631488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 12928047631488 in words is "twelve trillion, nine hundred twenty-eight billion, forty-seven million, six hundred thirty-one thousand, four hundred eighty-eight".