528448144 has 45 divisors (see below), whose sum is σ = 1192482921. Its totient is φ = 226201920.

The previous prime is 528448099. The next prime is 528448157. The reversal of 528448144 is 441844825.

The square root of 528448144 is 22988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 144288144 + 384160000 = 12012^2 + 19600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 528448097 and 528448106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 643254 + ... + 644074.

Almost surely, 2^528448144 is an apocalyptic number.

528448144 is the 22988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528448144

528448144 is an abundant number, since it is smaller than the sum of its proper divisors (664034777).

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

528448144 is an frugal number, since it uses more digits than its factorization.

528448144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 830 counting only the distinct ones).

The product of its digits is 163840, while the sum is 40.

The cubic root of 528448144 is about 808.4766083323.

The spelling of 528448144 in words is "five hundred twenty-eight million, four hundred forty-eight thousand, one hundred forty-four".