528349536 has 144 divisors (see below), whose sum is σ = 1765305360. Its totient is φ = 147778560.

The previous prime is 528349519. The next prime is 528349541. The reversal of 528349536 is 635943825.

528349536 is a `hidden beast` number, since 52 + 83 + 495 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 528349491 and 528349500.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 34770 + ... + 47598.

It is an arithmetic number, because the mean of its divisors is an integer number (12259065).

Almost surely, 2^528349536 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 528349536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882652680).

528349536 is an abundant number, since it is smaller than the sum of its proper divisors (1236955824).

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

528349536 is a wasteful number, since it uses less digits than its factorization.

528349536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12869 (or 12858 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 528349536 is about 22985.8551287526. The cubic root of 528349536 is about 808.4263181752.

The spelling of 528349536 in words is "five hundred twenty-eight million, three hundred forty-nine thousand, five hundred thirty-six".