28330341280800 has 576 divisors, whose sum is σ = 102557155921920. Its totient is φ = 6745711104000.

The previous prime is 28330341280789. The next prime is 28330341280807. The reversal of 28330341280800 is 808214303382.

It is a super-3 number, since 3×28330341280800³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (28330341280807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2873546271 + ... + 2873556129.

It is an arithmetic number, because the mean of its divisors is an integer number (178050617920).

Almost surely, 2^{28330341280800} is an apocalyptic number.

28330341280800 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 28330341280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51278577960960).

28330341280800 is an abundant number, since it is smaller than the sum of its proper divisors (74226814641120).

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

28330341280800 is a wasteful number, since it uses less digits than its factorization.

28330341280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12897 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 28330341280800 in words is "twenty-eight trillion, three hundred thirty billion, three hundred forty-one million, two hundred eighty thousand, eight hundred".