2882728537200 has 720 divisors, whose sum is σ = 10522314202400. Its totient is φ = 757842739200.

The previous prime is 2882728537159. The next prime is 2882728537223. The reversal of 2882728537200 is 27358272882.

2882728537200 is a `hidden beast` number, since 2 + 8 + 82 + 7 + 2 + 8 + 537 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2553346236 + ... + 2553347364.

Almost surely, 2^{2882728537200} is an apocalyptic number.

2882728537200 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 2882728537200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261157101200).

2882728537200 is an abundant number, since it is smaller than the sum of its proper divisors (7639585665200).

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

2882728537200 is a wasteful number, since it uses less digits than its factorization.

2882728537200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 2882728537200 in words is "two trillion, eight hundred eighty-two billion, seven hundred twenty-eight million, five hundred thirty-seven thousand, two hundred".