528249384 has 192 divisors, whose sum is σ = 1647000000. Its totient is φ = 156619008.

The previous prime is 528249383. The next prime is 528249427. The reversal of 528249384 is 483942825.

528249384 is a `hidden beast` number, since 5 + 2 + 82 + 493 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (528249383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058367 + ... + 1058865.

It is an arithmetic number, because the mean of its divisors is an integer number (8578125).

Almost surely, 2^528249384 is an apocalyptic number.

528249384 is a gapful number since it is divisible by the number (54) 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 528249384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823500000).

528249384 is an abundant number, since it is smaller than the sum of its proper divisors (1118750616).

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

528249384 is a wasteful number, since it uses less digits than its factorization.

528249384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 546 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 528249384 is about 22983.6764683112. The cubic root of 528249384 is about 808.3752341714.

The spelling of 528249384 in words is "five hundred twenty-eight million, two hundred forty-nine thousand, three hundred eighty-four".