528061248 has 224 divisors, whose sum is σ = 1824654720. Its totient is φ = 147640320.

The previous prime is 528061231. The next prime is 528061271. The reversal of 528061248 is 842160825.

528061248 is a `hidden beast` number, since 528 + 0 + 6 + 124 + 8 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246036 + ... + 248172.

It is an arithmetic number, because the mean of its divisors is an integer number (8145780).

Almost surely, 2^528061248 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 528061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912327360).

528061248 is an abundant number, since it is smaller than the sum of its proper divisors (1296593472).

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

528061248 is a wasteful number, since it uses less digits than its factorization.

528061248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 528061248 is about 22979.5832860389. The cubic root of 528061248 is about 808.2792551723.

The spelling of 528061248 in words is "five hundred twenty-eight million, sixty-one thousand, two hundred forty-eight".