6128998200 has 288 divisors, whose sum is σ = 22768855200. Its totient is φ = 1467694080.

The previous prime is 6128998171. The next prime is 6128998217. The reversal of 6128998200 is 28998216.

6128998200 is a `hidden beast` number, since 612 + 8 + 9 + 9 + 8 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 862261 + ... + 869339.

It is an arithmetic number, because the mean of its divisors is an integer number (79058525).

Almost surely, 2^6128998200 is an apocalyptic number.

6128998200 is a gapful number since it is divisible by the number (60) 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 6128998200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11384427600).

6128998200 is an abundant number, since it is smaller than the sum of its proper divisors (16639857000).

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

6128998200 is a wasteful number, since it uses less digits than its factorization.

6128998200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6128998200 is about 78287.9186081735. The cubic root of 6128998200 is about 1830.0508809646.

The spelling of 6128998200 in words is "six billion, one hundred twenty-eight million, nine hundred ninety-eight thousand, two hundred".