528708506400 has 324 divisors, whose sum is σ = 1876301381682. Its totient is φ = 140091463680.

The previous prime is 528708506399. The next prime is 528708506429. The reversal of 528708506400 is 4605807825.

528708506400 is a `hidden beast` number, since 528 + 7 + 0 + 85 + 0 + 6 + 40 + 0 = 666.

528708506400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 299309656464 + 229398849936 = 547092^2 + 478956^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 200799484 + ... + 200802116.

Almost surely, 2^528708506400 is an apocalyptic number.

528708506400 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 528708506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938150690841).

528708506400 is an abundant number, since it is smaller than the sum of its proper divisors (1347592875282).

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

528708506400 is a wasteful number, since it uses less digits than its factorization.

528708506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 528708506400 in words is "five hundred twenty-eight billion, seven hundred eight million, five hundred six thousand, four hundred".