5128603200 has 504 divisors, whose sum is σ = 21117690048. Its totient is φ = 1156239360.

The previous prime is 5128603187. The next prime is 5128603219. The reversal of 5128603200 is 23068215.

5128603200 is a `hidden beast` number, since 51 + 2 + 8 + 603 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8366094 + ... + 8366706.

Almost surely, 2^5128603200 is an apocalyptic number.

5128603200 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 5128603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10558845024).

5128603200 is an abundant number, since it is smaller than the sum of its proper divisors (15989086848).

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

5128603200 is a wasteful number, since it uses less digits than its factorization.

5128603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5128603200 is about 71614.2667350578. The cubic root of 5128603200 is about 1724.5125781014.

The spelling of 5128603200 in words is "five billion, one hundred twenty-eight million, six hundred three thousand, two hundred".