538528320 has 336 divisors, whose sum is σ = 2054108160. Its totient is φ = 128409600.

The previous prime is 538528307. The next prime is 538528321. The reversal of 538528320 is 23825835.

538528320 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (538528321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2819425 + ... + 2819615.

Almost surely, 2^538528320 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 538528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027054080).

538528320 is an abundant number, since it is smaller than the sum of its proper divisors (1515579840).

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

538528320 is a wasteful number, since it uses less digits than its factorization.

538528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 538528320 is about 23206.2129611878. The cubic root of 538528320 is about 813.5848426387.

The spelling of 538528320 in words is "five hundred thirty-eight million, five hundred twenty-eight thousand, three hundred twenty".