528349338 has 64 divisors (see below), whose sum is σ = 1286202240. Its totient is φ = 159436800.

The previous prime is 528349333. The next prime is 528349351. The reversal of 528349338 is 833943825.

528349338 is a `hidden beast` number, since 52 + 83 + 493 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 528349293 and 528349302.

It is not an unprimeable number, because it can be changed into a prime (528349333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150928 + ... + 154388.

It is an arithmetic number, because the mean of its divisors is an integer number (20096910).

Almost surely, 2^528349338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528349338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643101120).

528349338 is an abundant number, since it is smaller than the sum of its proper divisors (757852902).

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

528349338 is a wasteful number, since it uses less digits than its factorization.

528349338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3734 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 528349338 is about 22985.8508217555. The cubic root of 528349338 is about 808.4262171887.

It can be divided in two parts, 528 and 349338, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 528349338 in words is "five hundred twenty-eight million, three hundred forty-nine thousand, three hundred thirty-eight".