5138015328 has 96 divisors (see below), whose sum is σ = 15171095520. Its totient is φ = 1712648448.

The previous prime is 5138015269. The next prime is 5138015357. The reversal of 5138015328 is 8235108315.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 5138015292 and 5138015301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33276 + ... + 106692.

It is an arithmetic number, because the mean of its divisors is an integer number (158032245).

Almost surely, 2^5138015328 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 5138015328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585547760).

5138015328 is an abundant number, since it is smaller than the sum of its proper divisors (10033080192).

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

5138015328 is an frugal number, since it uses more digits than its factorization.

5138015328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73448 (or 73422 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5138015328 is about 71679.9506696259. The cubic root of 5138015328 is about 1725.5668881628.

The spelling of 5138015328 in words is "five billion, one hundred thirty-eight million, fifteen thousand, three hundred twenty-eight".