2883928320 has 864 divisors, whose sum is σ = 12918407040. Its totient is φ = 603832320.

The previous prime is 2883928283. The next prime is 2883928351. The reversal of 2883928320 is 238293882.

It is a tau number, because it is divible by the number of its divisors (864).

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, 22014655 + ... + 22014785.

It is an arithmetic number, because the mean of its divisors is an integer number (14951860).

Almost surely, 2^2883928320 is an apocalyptic number.

2883928320 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 2883928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459203520).

2883928320 is an abundant number, since it is smaller than the sum of its proper divisors (10034478720).

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

2883928320 is a wasteful number, since it uses less digits than its factorization.

2883928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2883928320 is about 53702.2189485686. The cubic root of 2883928320 is about 1423.4039082328.

The spelling of 2883928320 in words is "two billion, eight hundred eighty-three million, nine hundred twenty-eight thousand, three hundred twenty".