5338528 has 48 divisors (see below), whose sum is σ = 11631816. Its totient is φ = 2396160.

The previous prime is 5338499. The next prime is 5338547. The reversal of 5338528 is 8258335.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 4717584 = 788^2 + 2172^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5338493 and 5338502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16900 + ... + 17212.

Almost surely, 2^5338528 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 5338528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815908).

5338528 is an abundant number, since it is smaller than the sum of its proper divisors (6293288).

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

5338528 is a wasteful number, since it uses less digits than its factorization.

5338528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 5338528 is about 2310.5254813570. The cubic root of 5338528 is about 174.7727990322.

It can be divided in two parts, 533 and 8528, that multiplied together give a square (4545424 = 2132²).

The spelling of 5338528 in words is "five million, three hundred thirty-eight thousand, five hundred twenty-eight".