528681000 has 64 divisors (see below), whose sum is σ = 1649494080. Its totient is φ = 140980800.

The previous prime is 528680969. The next prime is 528681007. The reversal of 528681000 is 186825.

It is a super-2 number, since 2×528681000² = 559007199522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (528681007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85114 + ... + 91113.

It is an arithmetic number, because the mean of its divisors is an integer number (25773345).

Almost surely, 2^528681000 is an apocalyptic number.

528681000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

528681000 is an abundant number, since it is smaller than the sum of its proper divisors (1120813080).

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

528681000 is a wasteful number, since it uses less digits than its factorization.

528681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176251 (or 176237 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 528681000 is about 22993.0641716149. The cubic root of 528681000 is about 808.5953402499.

It can be divided in two parts, 528 and 681000, that added together give a triangular number (681528 = T₁₁₆₇).

The spelling of 528681000 in words is "five hundred twenty-eight million, six hundred eighty-one thousand".