528349680 has 120 divisors (see below), whose sum is σ = 1781330928. Its totient is φ = 140341248.

The previous prime is 528349673. The next prime is 528349687. The reversal of 528349680 is 86943825.

528349680 is a `hidden beast` number, since 5 + 2 + 83 + 496 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (528349673) and next prime (528349687).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×528349680² = 558306768712204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528349687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202464 + ... + 205056.

Almost surely, 2^528349680 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 528349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890665464).

528349680 is an abundant number, since it is smaller than the sum of its proper divisors (1252981248).

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

528349680 is a wasteful number, since it uses less digits than its factorization.

528349680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 528349680 is about 22985.8582611135. The cubic root of 528349680 is about 808.4263916198.

The spelling of 528349680 in words is "five hundred twenty-eight million, three hundred forty-nine thousand, six hundred eighty".