528083712 has 216 divisors, whose sum is σ = 1703052624. Its totient is φ = 162238464.

The previous prime is 528083659. The next prime is 528083723. The reversal of 528083712 is 217380825.

528083712 is a `hidden beast` number, since 5 + 280 + 8 + 371 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808378 + ... + 809030.

Almost surely, 2^528083712 is an apocalyptic number.

528083712 is a gapful number since it is divisible by the number (52) 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 528083712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851526312).

528083712 is an abundant number, since it is smaller than the sum of its proper divisors (1174968912).

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

528083712 is an equidigital number, since it uses as much as digits as its factorization.

528083712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 528083712 is about 22980.0720625502. The cubic root of 528083712 is about 808.2907165496.

It can be divided in two parts, 52 and 8083712, that multiplied together give a palindrome (420353024).

The spelling of 528083712 in words is "five hundred twenty-eight million, eighty-three thousand, seven hundred twelve".