528861312 has 288 divisors, whose sum is σ = 1841177520. Its totient is φ = 150667776.

The previous prime is 528861301. The next prime is 528861317. The reversal of 528861312 is 213168825.

It is a happy number.

528861312 is a `hidden beast` number, since 5 + 28 + 8 + 613 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×528861312² = 559388574660722688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (528861317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523923 + ... + 1524269.

Almost surely, 2^528861312 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 528861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920588760).

528861312 is an abundant number, since it is smaller than the sum of its proper divisors (1312316208).

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

528861312 is an equidigital number, since it uses as much as digits as its factorization.

528861312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 359 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 528861312 is about 22996.9848458445. The cubic root of 528861312 is about 808.6872563396.

The spelling of 528861312 in words is "five hundred twenty-eight million, eight hundred sixty-one thousand, three hundred twelve".