1271872728 has 48 divisors (see below), whose sum is σ = 3936750480. Its totient is φ = 363392064.

The previous prime is 1271872703. The next prime is 1271872751. The reversal of 1271872728 is 8272781721.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1261275 + ... + 1262282.

It is an arithmetic number, because the mean of its divisors is an integer number (82015635).

Almost surely, 2^1271872728 is an apocalyptic number.

1271872728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1271872728 is an abundant number, since it is smaller than the sum of its proper divisors (2664877752).

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

1271872728 is a wasteful number, since it uses less digits than its factorization.

1271872728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523576 (or 2523569 counting only the distinct ones).

The product of its digits is 175616, while the sum is 45.

The square root of 1271872728 is about 35663.3246907800. The cubic root of 1271872728 is about 1083.4641646699.

The spelling of 1271872728 in words is "one billion, two hundred seventy-one million, eight hundred seventy-two thousand, seven hundred twenty-eight".