528058752 has 192 divisors, whose sum is σ = 1553011200. Its totient is φ = 158865408.

The previous prime is 528058543. The next prime is 528058759. The reversal of 528058752 is 257850825.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528058759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5126733 + ... + 5126835.

It is an arithmetic number, because the mean of its divisors is an integer number (8088600).

Almost surely, 2^528058752 is an apocalyptic number.

528058752 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 528058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776505600).

528058752 is an abundant number, since it is smaller than the sum of its proper divisors (1024952448).

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

528058752 is a wasteful number, since it uses less digits than its factorization.

528058752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The square root of 528058752 is about 22979.5289768959. The cubic root of 528058752 is about 808.2779816658.

The spelling of 528058752 in words is "five hundred twenty-eight million, fifty-eight thousand, seven hundred fifty-two".