6128848800 has 576 divisors, whose sum is σ = 23368504320. Its totient is φ = 1567641600.

The previous prime is 6128848763. The next prime is 6128848819. The reversal of 6128848800 is 88488216.

It is a happy number.

It is a super-2 number, since 2×6128848800² = 75125575226522880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54237544 + ... + 54237656.

It is an arithmetic number, because the mean of its divisors is an integer number (40570320).

Almost surely, 2^6128848800 is an apocalyptic number.

6128848800 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 6128848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684252160).

6128848800 is an abundant number, since it is smaller than the sum of its proper divisors (17239655520).

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

6128848800 is a wasteful number, since it uses less digits than its factorization.

6128848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 6128848800 is about 78286.9644321454. The cubic root of 6128848800 is about 1830.0360111161.

The spelling of 6128848800 in words is "six billion, one hundred twenty-eight million, eight hundred forty-eight thousand, eight hundred".