2801728800 has 432 divisors, whose sum is σ = 10940627880. Its totient is φ = 670187520.

The previous prime is 2801728793. The next prime is 2801728807. The reversal of 2801728800 is 88271082.

It is an interprime number because it is at equal distance from previous prime (2801728793) and next prime (2801728807).

It can be written as a sum of positive squares in 12 ways, for example, as 641710224 + 2160018576 = 25332^2 + 46476^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2801728807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3462796 + ... + 3463604.

Almost surely, 2^2801728800 is an apocalyptic number.

2801728800 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 2801728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470313940).

2801728800 is an abundant number, since it is smaller than the sum of its proper divisors (8138899080).

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

2801728800 is a wasteful number, since it uses less digits than its factorization.

2801728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2801728800 is about 52931.3593250731. The cubic root of 2801728800 is about 1409.7497669714.

Adding to 2801728800 its reverse (88271082), we get a palindrome (2889999882).

It can be divided in two parts, 2801728 and 800, that added together give a triangular number (2802528 = T₂₃₆₇).

The spelling of 2801728800 in words is "two billion, eight hundred one million, seven hundred twenty-eight thousand, eight hundred".