2828720544 has 192 divisors, whose sum is σ = 8339345280. Its totient is φ = 833863680.

The previous prime is 2828720539. The next prime is 2828720561. The reversal of 2828720544 is 4450278282.

It is a junction number, because it is equal to n+sod(n) for n = 2828720496 and 2828720505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3018444 + ... + 3019380.

It is an arithmetic number, because the mean of its divisors is an integer number (43434090).

Almost surely, 2^2828720544 is an apocalyptic number.

2828720544 is a gapful number since it is divisible by the number (24) 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 2828720544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169672640).

2828720544 is an abundant number, since it is smaller than the sum of its proper divisors (5510624736).

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

2828720544 is a wasteful number, since it uses less digits than its factorization.

2828720544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 2828720544 is about 53185.7174812938. The cubic root of 2828720544 is about 1414.2624638911.

The spelling of 2828720544 in words is "two billion, eight hundred twenty-eight million, seven hundred twenty thousand, five hundred forty-four".