528827615400 has 192 divisors, whose sum is σ = 1875389788800. Its totient is φ = 120756879360.

The previous prime is 528827615389. The next prime is 528827615401. The reversal of 528827615400 is 4516728825.

It is a self number, because there is not a number n which added to its sum of digits gives 528827615400.

It is not an unprimeable number, because it can be changed into a prime (528827615401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4277656 + ... + 4399544.

It is an arithmetic number, because the mean of its divisors is an integer number (9767655150).

Almost surely, 2^528827615400 is an apocalyptic number.

528827615400 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 528827615400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937694894400).

528827615400 is an abundant number, since it is smaller than the sum of its proper divisors (1346562173400).

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

528827615400 is a wasteful number, since it uses less digits than its factorization.

528827615400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122948 (or 122939 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 528827615400 in words is "five hundred twenty-eight billion, eight hundred twenty-seven million, six hundred fifteen thousand, four hundred".