5205328128 has 864 divisors, whose sum is σ = 21034820352. Its totient is φ = 1194393600.

The previous prime is 5205328097. The next prime is 5205328129. The reversal of 5205328128 is 8218235025.

5205328128 is a `hidden beast` number, since 5 + 20 + 532 + 81 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5205328092 and 5205328101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205328129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85333218 + ... + 85333278.

Almost surely, 2^5205328128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10517410176).

5205328128 is an abundant number, since it is smaller than the sum of its proper divisors (15829492224).

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

5205328128 is a wasteful number, since it uses less digits than its factorization.

5205328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5205328128 is about 72147.9599711593. The cubic root of 5205328128 is about 1733.0697308540.

It can be divided in two parts, 5205 and 328128, that added together give a palindrome (333333).

The spelling of 5205328128 in words is "five billion, two hundred five million, three hundred twenty-eight thousand, one hundred twenty-eight".