12894380928 has 576 divisors, whose sum is σ = 45658529280. Its totient is φ = 3590645760.

The previous prime is 12894380927. The next prime is 12894380969. The reversal of 12894380928 is 82908349821.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12894380927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57822225 + ... + 57822447.

It is an arithmetic number, because the mean of its divisors is an integer number (79268280).

Almost surely, 2^12894380928 is an apocalyptic number.

12894380928 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 12894380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22829264640).

12894380928 is an abundant number, since it is smaller than the sum of its proper divisors (32764148352).

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

12894380928 is a wasteful number, since it uses less digits than its factorization.

12894380928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 12894380928 in words is "twelve billion, eight hundred ninety-four million, three hundred eighty thousand, nine hundred twenty-eight".