13828208992 has 48 divisors (see below), whose sum is σ = 29400446880. Its totient is φ = 6364403712.

The previous prime is 13828208981. The next prime is 13828209001. The reversal of 13828208992 is 29980282831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103048 + ... + 195640.

It is an arithmetic number, because the mean of its divisors is an integer number (612509310).

Almost surely, 2^13828208992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13828208992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14700223440).

13828208992 is an abundant number, since it is smaller than the sum of its proper divisors (15572237888).

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

13828208992 is a wasteful number, since it uses less digits than its factorization.

13828208992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92975 (or 92967 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 13828208992 in words is "thirteen billion, eight hundred twenty-eight million, two hundred eight thousand, nine hundred ninety-two".