13828012242 has 64 divisors (see below), whose sum is σ = 31809507840. Its totient is φ = 3963340800.

The previous prime is 13828012217. The next prime is 13828012273. The reversal of 13828012242 is 24221082831.

13828012242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795213 + ... + 812415.

It is an arithmetic number, because the mean of its divisors is an integer number (497023560).

Almost surely, 2^13828012242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13828012242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15904753920).

13828012242 is an abundant number, since it is smaller than the sum of its proper divisors (17981495598).

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

13828012242 is a wasteful number, since it uses less digits than its factorization.

13828012242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17879.

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 13828012242 in words is "thirteen billion, eight hundred twenty-eight million, twelve thousand, two hundred forty-two".