5138328 has 64 divisors (see below), whose sum is σ = 14192640. Its totient is φ = 1540224.

The previous prime is 5138321. The next prime is 5138333. The reversal of 5138328 is 8238315.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5138295 and 5138304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5138321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13225 + ... + 13607.

It is an arithmetic number, because the mean of its divisors is an integer number (221760).

Almost surely, 2^5138328 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 5138328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096320).

5138328 is an abundant number, since it is smaller than the sum of its proper divisors (9054312).

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

5138328 is a wasteful number, since it uses less digits than its factorization.

5138328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 5138328 is about 2266.7880359663. The cubic root of 5138328 is about 172.5601890362.

The spelling of 5138328 in words is "five million, one hundred thirty-eight thousand, three hundred twenty-eight".