13882393728 has 576 divisors, whose sum is σ = 49893667200. Its totient is φ = 3621961728.

The previous prime is 13882393711. The next prime is 13882393739. The reversal of 13882393728 is 82739328831.

13882393728 is a `hidden beast` number, since 1 + 38 + 8 + 239 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 155981908 + ... + 155981996.

It is an arithmetic number, because the mean of its divisors is an integer number (86620950).

Almost surely, 2^13882393728 is an apocalyptic number.

13882393728 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 13882393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24946833600).

13882393728 is an abundant number, since it is smaller than the sum of its proper divisors (36011273472).

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

13882393728 is a wasteful number, since it uses less digits than its factorization.

13882393728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 153 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 13882393728 in words is "thirteen billion, eight hundred eighty-two million, three hundred ninety-three thousand, seven hundred twenty-eight".