1261052728 has 32 divisors (see below), whose sum is σ = 2551953600. Its totient is φ = 580745088.

The previous prime is 1261052713. The next prime is 1261052753. The reversal of 1261052728 is 8272501621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1261052693 and 1261052702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35058 + ... + 61246.

It is an arithmetic number, because the mean of its divisors is an integer number (79748550).

Almost surely, 2^1261052728 is an apocalyptic number.

It is an amenable number.

1261052728 is an abundant number, since it is smaller than the sum of its proper divisors (1290900872).

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

1261052728 is a wasteful number, since it uses less digits than its factorization.

1261052728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26671 (or 26667 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1261052728 is about 35511.3042283721. The cubic root of 1261052728 is about 1080.3830168695.

The spelling of 1261052728 in words is "one billion, two hundred sixty-one million, fifty-two thousand, seven hundred twenty-eight".