2804928000 has 320 divisors, whose sum is σ = 10663031808. Its totient is φ = 640819200.

The previous prime is 2804927987. The next prime is 2804928001. The reversal of 2804928000 is 8294082.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2804928001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342957 + ... + 1345043.

Almost surely, 2^2804928000 is an apocalyptic number.

2804928000 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 2804928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331515904).

2804928000 is an abundant number, since it is smaller than the sum of its proper divisors (7858103808).

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

2804928000 is an equidigital number, since it uses as much as digits as its factorization.

2804928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2804928000 is about 52961.5709736786. The cubic root of 2804928000 is about 1410.2861448333.

The spelling of 2804928000 in words is "two billion, eight hundred four million, nine hundred twenty-eight thousand".