1256828352 has 112 divisors (see below), whose sum is σ = 3601090080. Its totient is φ = 384565248.

The previous prime is 1256828341. The next prime is 1256828401. The reversal of 1256828352 is 2538286521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480424 + ... + 483032.

It is an arithmetic number, because the mean of its divisors is an integer number (32152590).

Almost surely, 2^1256828352 is an apocalyptic number.

1256828352 is a gapful number since it is divisible by the number (12) 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 1256828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800545040).

1256828352 is an abundant number, since it is smaller than the sum of its proper divisors (2344261728).

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

1256828352 is a wasteful number, since it uses less digits than its factorization.

1256828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2820 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 1256828352 is about 35451.7750190311. The cubic root of 1256828352 is about 1079.1752825921.

The spelling of 1256828352 in words is "one billion, two hundred fifty-six million, eight hundred twenty-eight thousand, three hundred fifty-two".