12824461728 has 480 divisors, whose sum is σ = 42600007296. Its totient is φ = 3758856192.

The previous prime is 12824461681. The next prime is 12824461733. The reversal of 12824461728 is 82716442821.

12824461728 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 4 + 4 + 617 + 28 = 666.

It is a super-2 number, since 2×12824461728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76793101 + ... + 76793267.

Almost surely, 2^12824461728 is an apocalyptic number.

12824461728 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 12824461728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21300003648).

12824461728 is an abundant number, since it is smaller than the sum of its proper divisors (29775545568).

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

12824461728 is a wasteful number, since it uses less digits than its factorization.

12824461728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

It can be divided in two parts, 12824 and 461728, that added together give a cube (474552 = 78³).

The spelling of 12824461728 in words is "twelve billion, eight hundred twenty-four million, four hundred sixty-one thousand, seven hundred twenty-eight".