20338042928 has 160 divisors (see below), whose sum is σ = 50311065600. Its totient is φ = 7763551488.

The previous prime is 20338042903. The next prime is 20338042943. The reversal of 20338042928 is 82924083302.

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, 2884175 + ... + 2891217.

It is an arithmetic number, because the mean of its divisors is an integer number (314444160).

Almost surely, 2^20338042928 is an apocalyptic number.

20338042928 is a gapful number since it is divisible by the number (28) 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 20338042928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25155532800).

20338042928 is an abundant number, since it is smaller than the sum of its proper divisors (29973022672).

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

20338042928 is a wasteful number, since it uses less digits than its factorization.

20338042928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 20338042928 in words is "twenty billion, three hundred thirty-eight million, forty-two thousand, nine hundred twenty-eight".