13828982072832 has 1280 divisors, whose sum is σ = 46715110041600. Its totient is φ = 4013162496000.

The previous prime is 13828982072819. The next prime is 13828982072861. The reversal of 13828982072832 is 23827028982831.

13828982072832 is a `hidden beast` number, since 1 + 382 + 8 + 98 + 20 + 72 + 83 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13828982072832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57381668232 + ... + 57381668472.

It is an arithmetic number, because the mean of its divisors is an integer number (36496179720).

Almost surely, 2^{13828982072832} is an apocalyptic number.

13828982072832 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 13828982072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23357555020800).

13828982072832 is an abundant number, since it is smaller than the sum of its proper divisors (32886127968768).

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

13828982072832 is a wasteful number, since it uses less digits than its factorization.

13828982072832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 13828982072832 in words is "thirteen trillion, eight hundred twenty-eight billion, nine hundred eighty-two million, seventy-two thousand, eight hundred thirty-two".