2828800728 has 192 divisors, whose sum is σ = 8701318080. Its totient is φ = 823680000.

The previous prime is 2828800687. The next prime is 2828800759. The reversal of 2828800728 is 8270088282.

It is a super-2 number, since 2×2828800728² = 16004227117466659968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2173678 + ... + 2174978.

It is an arithmetic number, because the mean of its divisors is an integer number (45319365).

Almost surely, 2^2828800728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828800728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350659040).

2828800728 is an abundant number, since it is smaller than the sum of its proper divisors (5872517352).

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

2828800728 is a wasteful number, since it uses less digits than its factorization.

2828800728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 2828800728 is about 53186.4712873490. The cubic root of 2828800728 is about 1414.2758268407.

The spelling of 2828800728 in words is "two billion, eight hundred twenty-eight million, eight hundred thousand, seven hundred twenty-eight".