528198489000 has 1920 divisors, whose sum is σ = 2399543546400. Its totient is φ = 107296358400.

The previous prime is 528198488957. The next prime is 528198489097. The reversal of 528198489000 is 984891825.

It can be written as a sum of positive squares in 16 ways, for example, as 97093313604 + 431105175396 = 311598^2 + 656586^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1496312824 + ... + 1496313176.

Almost surely, 2^528198489000 is an apocalyptic number.

528198489000 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 528198489000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199771773200).

528198489000 is an abundant number, since it is smaller than the sum of its proper divisors (1871345057400).

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

528198489000 is a wasteful number, since it uses less digits than its factorization.

528198489000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 528198489000 in words is "five hundred twenty-eight billion, one hundred ninety-eight million, four hundred eighty-nine thousand".