528216113400 has 96 divisors (see below), whose sum is σ = 1638389600640. Its totient is φ = 140778520960.

The previous prime is 528216113239. The next prime is 528216113407. The reversal of 528216113400 is 4311612825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528216113407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825877 + ... + 1318523.

It is an arithmetic number, because the mean of its divisors is an integer number (17066558340).

Almost surely, 2^528216113400 is an apocalyptic number.

528216113400 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 528216113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819194800320).

528216113400 is an abundant number, since it is smaller than the sum of its proper divisors (1110173487240).

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

528216113400 is a wasteful number, since it uses less digits than its factorization.

528216113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494453 (or 494444 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 528216113400 in words is "five hundred twenty-eight billion, two hundred sixteen million, one hundred thirteen thousand, four hundred".