528334488000 has 1344 divisors, whose sum is σ = 2209855205376. Its totient is φ = 123793920000.

The previous prime is 528334487957. The next prime is 528334488001. The reversal of 528334488000 is 884433825.

528334488000 is a `hidden beast` number, since 52 + 83 + 3 + 448 + 80 + 0 + 0 = 666.

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 (528334488001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 662903602 + ... + 662904398.

It is an arithmetic number, because the mean of its divisors is an integer number (1644237504).

Almost surely, 2^528334488000 is an apocalyptic number.

528334488000 is a gapful number since it is divisible by the number (50) 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 528334488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104927602688).

528334488000 is an abundant number, since it is smaller than the sum of its proper divisors (1681520717376).

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

528334488000 is a wasteful number, since it uses less digits than its factorization.

528334488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 528334488000 in words is "five hundred twenty-eight billion, three hundred thirty-four million, four hundred eighty-eight thousand".