28128093143040 has 800 divisors, whose sum is σ = 109199540246400. Its totient is φ = 6812891873280.

The previous prime is 28128093143009. The next prime is 28128093143047. The reversal of 28128093143040 is 4034139082182.

28128093143040 is a `hidden beast` number, since 2 + 8 + 1 + 28 + 0 + 9 + 314 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28128093143047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24914165196 + ... + 24914166324.

It is an arithmetic number, because the mean of its divisors is an integer number (136499425308).

Almost surely, 2^{28128093143040} is an apocalyptic number.

28128093143040 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 28128093143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54599770123200).

28128093143040 is an abundant number, since it is smaller than the sum of its proper divisors (81071447103360).

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

28128093143040 is an frugal number, since it uses more digits than its factorization.

28128093143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28128093143040 in words is "twenty-eight trillion, one hundred twenty-eight billion, ninety-three million, one hundred forty-three thousand, forty".