528264828000 has 3840 divisors, whose sum is σ = 2685091368960. Its totient is φ = 98537472000.

The previous prime is 528264827983. The next prime is 528264828029. The reversal of 528264828000 is 828462825.

528264828000 is a `hidden beast` number, since 528 + 2 + 6 + 48 + 2 + 80 + 0 + 0 = 666.

528264828000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 12884507980 + ... + 12884508020.

It is an arithmetic number, because the mean of its divisors is an integer number (699242544).

Almost surely, 2^528264828000 is an apocalyptic number.

528264828000 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 528264828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342545684480).

528264828000 is an abundant number, since it is smaller than the sum of its proper divisors (2156826540960).

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

528264828000 is a wasteful number, since it uses less digits than its factorization.

528264828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 528264828000 in words is "five hundred twenty-eight billion, two hundred sixty-four million, eight hundred twenty-eight thousand".