2107728000 has 1024 divisors, whose sum is σ = 9623577600. Its totient is φ = 442368000.

The previous prime is 2107727989. The next prime is 2107728001. The reversal of 2107728000 is 8277012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2107728001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51407980 + ... + 51408020.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025).

Almost surely, 2^2107728000 is an apocalyptic number.

2107728000 is a gapful number since it is divisible by the number (20) 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 2107728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811788800).

2107728000 is an abundant number, since it is smaller than the sum of its proper divisors (7515849600).

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

2107728000 is a wasteful number, since it uses less digits than its factorization.

2107728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2107728000 is about 45909.9989109126. The cubic root of 2107728000 is about 1282.1480857913.

The spelling of 2107728000 in words is "two billion, one hundred seven million, seven hundred twenty-eight thousand".