2928000320 has 224 divisors, whose sum is σ = 8492947200. Its totient is φ = 939147264.

The previous prime is 2928000307. The next prime is 2928000329. The reversal of 2928000320 is 230008292.

It is a Cunningham number, because it is equal to 54111²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 2928000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928000329) 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, 3787454 + ... + 3788226.

Almost surely, 2^2928000320 is an apocalyptic number.

2928000320 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 2928000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246473600).

2928000320 is an abundant number, since it is smaller than the sum of its proper divisors (5564946880).

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

2928000320 is a wasteful number, since it uses less digits than its factorization.

2928000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2928000320 is about 54110.9999907597. Note that the first 5 decimals coincide. The cubic root of 2928000320 is about 1430.6180711254.

The spelling of 2928000320 in words is "two billion, nine hundred twenty-eight million, three hundred twenty", and thus it is an aban number.