2928028800 has 384 divisors, whose sum is σ = 10244880000. Its totient is φ = 733511680.

The previous prime is 2928028793. The next prime is 2928028843. The reversal of 2928028800 is 88208292.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19651126 + ... + 19651274.

It is an arithmetic number, because the mean of its divisors is an integer number (26679375).

Almost surely, 2^2928028800 is an apocalyptic number.

2928028800 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 2928028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122440000).

2928028800 is an abundant number, since it is smaller than the sum of its proper divisors (7316851200).

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

2928028800 is a wasteful number, since it uses less digits than its factorization.

2928028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2928028800 is about 54111.2631528779. The cubic root of 2928028800 is about 1430.6227095436.

The spelling of 2928028800 in words is "two billion, nine hundred twenty-eight million, twenty-eight thousand, eight hundred".