1271259828 has 72 divisors (see below), whose sum is σ = 3430365120. Its totient is φ = 395781120.

The previous prime is 1271259799. The next prime is 1271259833. The reversal of 1271259828 is 8289521721.

1271259828 is a `hidden beast` number, since 1 + 27 + 12 + 598 + 28 = 666.

1271259828 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1271259828² = 3232203100573179168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35476 + ... + 61652.

It is an arithmetic number, because the mean of its divisors is an integer number (47643960).

Almost surely, 2^1271259828 is an apocalyptic number.

1271259828 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 1271259828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715182560).

1271259828 is an abundant number, since it is smaller than the sum of its proper divisors (2159105292).

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

1271259828 is a wasteful number, since it uses less digits than its factorization.

1271259828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26277 (or 26272 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 1271259828 is about 35654.7307941036. The cubic root of 1271259828 is about 1083.2901006390.

The spelling of 1271259828 in words is "one billion, two hundred seventy-one million, two hundred fifty-nine thousand, eight hundred twenty-eight".