528007248 has 100 divisors (see below), whose sum is σ = 1549418068. Its totient is φ = 173560320.

The previous prime is 528007231. The next prime is 528007273. The reversal of 528007248 is 842700825.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 231891984 + 296115264 = 15228^2 + 17208^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91818 + ... + 97398.

Almost surely, 2^528007248 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 528007248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774709034).

528007248 is an abundant number, since it is smaller than the sum of its proper divisors (1021410820).

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

528007248 is a wasteful number, since it uses less digits than its factorization.

528007248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 528007248 is about 22978.4082999672. The cubic root of 528007248 is about 808.2517024544.

The spelling of 528007248 in words is "five hundred twenty-eight million, seven thousand, two hundred forty-eight".