5128688400 has 240 divisors, whose sum is σ = 18408577728. Its totient is φ = 1209600000.

The previous prime is 5128688387. The next prime is 5128688417. The reversal of 5128688400 is 48868215.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483150 + ... + 493650.

Almost surely, 2^5128688400 is an apocalyptic number.

5128688400 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 5128688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9204288864).

5128688400 is an abundant number, since it is smaller than the sum of its proper divisors (13279889328).

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

5128688400 is a wasteful number, since it uses less digits than its factorization.

5128688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10570 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 5128688400 is about 71614.8615861261. The cubic root of 5128688400 is about 1724.5221276579.

The spelling of 5128688400 in words is "five billion, one hundred twenty-eight million, six hundred eighty-eight thousand, four hundred".