6128261900 has 144 divisors (see below), whose sum is σ = 14486572800. Its totient is φ = 2242287360.

The previous prime is 6128261891. The next prime is 6128261903. The reversal of 6128261900 is 91628216.

It is a super-2 number, since 2×6128261900² = 75111187829983220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6128261903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12583457 + ... + 12583943.

It is an arithmetic number, because the mean of its divisors is an integer number (100601200).

Almost surely, 2^6128261900 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 6128261900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7243286400).

6128261900 is an abundant number, since it is smaller than the sum of its proper divisors (8358310900).

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

6128261900 is a wasteful number, since it uses less digits than its factorization.

6128261900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 6128261900 is about 78283.2159533575. The cubic root of 6128261900 is about 1829.9775943587.

The spelling of 6128261900 in words is "six billion, one hundred twenty-eight million, two hundred sixty-one thousand, nine hundred".