12828598272 has 504 divisors, whose sum is σ = 44577356616. Its totient is φ = 3542482944.

The previous prime is 12828598249. The next prime is 12828598303. The reversal of 12828598272 is 27289582821.

12828598272 is a `hidden beast` number, since 1 + 2 + 8 + 28 + 598 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×12828598272³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 35 ways as a sum of consecutive naturals, for example, 191471583 + ... + 191471649.

Almost surely, 2^12828598272 is an apocalyptic number.

12828598272 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 12828598272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22288678308).

12828598272 is an abundant number, since it is smaller than the sum of its proper divisors (31748758344).

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

12828598272 is an equidigital number, since it uses as much as digits as its factorization.

12828598272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 12828598272 in words is "twelve billion, eight hundred twenty-eight million, five hundred ninety-eight thousand, two hundred seventy-two".