1294105728 has 128 divisors (see below), whose sum is σ = 3534863040. Its totient is φ = 419328000.

The previous prime is 1294105727. The next prime is 1294105753. The reversal of 1294105728 is 8275014921.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1294105721) 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, 2365551 + ... + 2366097.

Almost surely, 2^1294105728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1294105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767431520).

1294105728 is an abundant number, since it is smaller than the sum of its proper divisors (2240757312).

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

1294105728 is a wasteful number, since it uses less digits than its factorization.

1294105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1294105728 is about 35973.6810460092. The cubic root of 1294105728 is about 1089.7409052274.

The spelling of 1294105728 in words is "one billion, two hundred ninety-four million, one hundred five thousand, seven hundred twenty-eight".