528221152800 has 504 divisors, whose sum is σ = 2109184222320. Its totient is φ = 128052057600.

The previous prime is 528221152799. The next prime is 528221152807. The reversal of 528221152800 is 8251122825.

528221152800 is a `hidden beast` number, since 52 + 82 + 2 + 1 + 1 + 528 + 0 + 0 = 666.

It is a super-4 number, since 4×528221152800⁴ (a number of 48 digits) contains 4444 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 (528221152807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6374031 + ... + 6456369.

It is an arithmetic number, because the mean of its divisors is an integer number (4184889330).

Almost surely, 2^528221152800 is an apocalyptic number.

528221152800 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 528221152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054592111160).

528221152800 is an abundant number, since it is smaller than the sum of its proper divisors (1580963069520).

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

528221152800 is a wasteful number, since it uses less digits than its factorization.

528221152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82388 (or 82360 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

It can be divided in two parts, 5282211 and 52800, that added together give a triangular number (5335011 = T₃₂₆₆).

The spelling of 528221152800 in words is "five hundred twenty-eight billion, two hundred twenty-one million, one hundred fifty-two thousand, eight hundred".