1272828096 has 168 divisors, whose sum is σ = 3939418080. Its totient is φ = 391716864.

The previous prime is 1272828077. The next prime is 1272828121. The reversal of 1272828096 is 6908282721.

It is a super-4 number, since 4×1272828096⁴ (a number of 38 digits) contains 4444 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, 382536 + ... + 385848.

Almost surely, 2^1272828096 is an apocalyptic number.

1272828096 is a gapful number since it is divisible by the number (16) 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 1272828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969709040).

1272828096 is an abundant number, since it is smaller than the sum of its proper divisors (2666589984).

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

1272828096 is a wasteful number, since it uses less digits than its factorization.

1272828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1272828096 is about 35676.7164408386. The cubic root of 1272828096 is about 1083.7353783702.

The spelling of 1272828096 in words is "one billion, two hundred seventy-two million, eight hundred twenty-eight thousand, ninety-six".