28803199257600 has 1584 divisors, whose sum is σ = 104843700073728. Its totient is φ = 6956891504640.

The previous prime is 28803199257589. The next prime is 28803199257601. The reversal of 28803199257600 is 675299130882.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (28803199257601) by changing a digit.

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, 103982668662 + ... + 103982668938.

It is an arithmetic number, because the mean of its divisors is an integer number (66189204592).

Almost surely, 2^{28803199257600} is an apocalyptic number.

28803199257600 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 28803199257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52421850036864).

28803199257600 is an abundant number, since it is smaller than the sum of its proper divisors (76040500816128).

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

28803199257600 is a wasteful number, since it uses less digits than its factorization.

28803199257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 28803199257600 in words is "twenty-eight trillion, eight hundred three billion, one hundred ninety-nine million, two hundred fifty-seven thousand, six hundred".