52138528 has 72 divisors (see below), whose sum is σ = 115105536. Its totient is φ = 23212800.

The previous prime is 52138517. The next prime is 52138531. The reversal of 52138528 is 82583125.

It is a super-2 number, since 2×52138528² = 5436852204013568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52138493 and 52138502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167493 + ... + 167803.

It is an arithmetic number, because the mean of its divisors is an integer number (1598688).

Almost surely, 2^52138528 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 52138528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57552768).

52138528 is an abundant number, since it is smaller than the sum of its proper divisors (62967008).

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

52138528 is a wasteful number, since it uses less digits than its factorization.

52138528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 357 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 52138528 is about 7220.7013509769. The cubic root of 52138528 is about 373.5822687824.

The spelling of 52138528 in words is "fifty-two million, one hundred thirty-eight thousand, five hundred twenty-eight".