1295881728 has 80 divisors (see below), whose sum is σ = 3486253056. Its totient is φ = 427714560.

The previous prime is 1295881693. The next prime is 1295881751. The reversal of 1295881728 is 8271885921.

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, 154113 + ... + 162303.

Almost surely, 2^1295881728 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 1295881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743126528).

1295881728 is an abundant number, since it is smaller than the sum of its proper divisors (2190371328).

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

1295881728 is an equidigital number, since it uses as much as digits as its factorization.

1295881728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8299 counting only the distinct ones).

The product of its digits is 645120, while the sum is 51.

The square root of 1295881728 is about 35998.3572958545. The cubic root of 1295881728 is about 1090.2391888745.

The spelling of 1295881728 in words is "one billion, two hundred ninety-five million, eight hundred eighty-one thousand, seven hundred twenty-eight".