5128824400 has 60 divisors (see below), whose sum is σ = 14082294112. Its totient is φ = 1758453120.

The previous prime is 5128824383. The next prime is 5128824403. The reversal of 5128824400 is 44288215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128824403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 913062 + ... + 918661.

Almost surely, 2^5128824400 is an apocalyptic number.

5128824400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5128824400 is an abundant number, since it is smaller than the sum of its proper divisors (8953469712).

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

5128824400 is a wasteful number, since it uses less digits than its factorization.

5128824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831748 (or 1831737 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 5128824400 is about 71615.8111034149. The cubic root of 5128824400 is about 1724.5373708622.

The spelling of 5128824400 in words is "five billion, one hundred twenty-eight million, eight hundred twenty-four thousand, four hundred".