1256768928 has 144 divisors (see below), whose sum is σ = 3821126400. Its totient is φ = 390432768.

The previous prime is 1256768881. The next prime is 1256768951. The reversal of 1256768928 is 8298676521.

1256768928 is a `hidden beast` number, since 12 + 567 + 68 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 522673 + ... + 525071.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^1256768928 is an apocalyptic number.

1256768928 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 1256768928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910563200).

1256768928 is an abundant number, since it is smaller than the sum of its proper divisors (2564357472).

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

1256768928 is a wasteful number, since it uses less digits than its factorization.

1256768928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2528 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 1256768928 is about 35450.9369128659. The cubic root of 1256768928 is about 1079.1582741909.

The spelling of 1256768928 in words is "one billion, two hundred fifty-six million, seven hundred sixty-eight thousand, nine hundred twenty-eight".