6128334800 has 60 divisors (see below), whose sum is σ = 16826664096. Its totient is φ = 2101142400.

The previous prime is 6128334787. The next prime is 6128334809. The reversal of 6128334800 is 84338216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6128334809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1091546 + ... + 1097145.

Almost surely, 2^6128334800 is an apocalyptic number.

It is an amenable number.

6128334800 is an abundant number, since it is smaller than the sum of its proper divisors (10698329296).

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

6128334800 is a wasteful number, since it uses less digits than its factorization.

6128334800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188716 (or 2188705 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 6128334800 is about 78283.6815690218. The cubic root of 6128334800 is about 1829.9848506216.

The spelling of 6128334800 in words is "six billion, one hundred twenty-eight million, three hundred thirty-four thousand, eight hundred".