538238272 has 112 divisors (see below), whose sum is σ = 1309859712. Its totient is φ = 215930880.

The previous prime is 538238237. The next prime is 538238273. The reversal of 538238272 is 272832835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538238273) 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, 209218 + ... + 211774.

It is an arithmetic number, because the mean of its divisors is an integer number (11695176).

Almost surely, 2^538238272 is an apocalyptic number.

538238272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654929856).

538238272 is an abundant number, since it is smaller than the sum of its proper divisors (771621440).

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

538238272 is a wasteful number, since it uses less digits than its factorization.

538238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2606 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 538238272 is about 23199.9627585908. The cubic root of 538238272 is about 813.4387524977.

It can be divided in two parts, 5382 and 38272, that multiplied together give a square (205979904 = 14352²).

The spelling of 538238272 in words is "five hundred thirty-eight million, two hundred thirty-eight thousand, two hundred seventy-two".