5336128 has 56 divisors (see below), whose sum is σ = 12427712. Its totient is φ = 2225664.

The previous prime is 5336119. The next prime is 5336129. The reversal of 5336128 is 8216335.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5336096 and 5336105.

It is not an unprimeable number, because it can be changed into a prime (5336129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19126 + ... + 19402.

Almost surely, 2^5336128 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 5336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213856).

5336128 is an abundant number, since it is smaller than the sum of its proper divisors (7091584).

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

5336128 is a wasteful number, since it uses less digits than its factorization.

5336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 5336128 is about 2310.0060605981. The cubic root of 5336128 is about 174.7466046961.

Subtracting from 5336128 its sum of digits (28), we obtain a square (5336100 = 2310²).

The spelling of 5336128 in words is "five million, three hundred thirty-six thousand, one hundred twenty-eight".