5338016028 has 108 divisors (see below), whose sum is σ = 14288889888. Its totient is φ = 1680013440.

The previous prime is 5338015987. The next prime is 5338016029. The reversal of 5338016028 is 8206108335.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5338015983 and 5338016001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5338016029) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5600800 + ... + 5601752.

It is an arithmetic number, because the mean of its divisors is an integer number (132304536).

Almost surely, 2^5338016028 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 5338016028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144444944).

5338016028 is an abundant number, since it is smaller than the sum of its proper divisors (8950873860).

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

5338016028 is a wasteful number, since it uses less digits than its factorization.

5338016028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5338016028 is about 73061.7275185853. The cubic root of 5338016028 is about 1747.6721187157.

The spelling of 5338016028 in words is "five billion, three hundred thirty-eight million, sixteen thousand, twenty-eight".