28587901141800 has 2304 divisors, whose sum is σ = 133673069376000. Its totient is φ = 5464450252800.

The previous prime is 28587901141781. The next prime is 28587901141817. The reversal of 28587901141800 is 814110978582.

28587901141800 is a `hidden beast` number, since 2 + 8 + 587 + 9 + 0 + 11 + 41 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22178355556 + ... + 22178356844.

It is an arithmetic number, because the mean of its divisors is an integer number (58017825250).

Almost surely, 2^{28587901141800} is an apocalyptic number.

28587901141800 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 28587901141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66836534688000).

28587901141800 is an abundant number, since it is smaller than the sum of its proper divisors (105085168234200).

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

28587901141800 is a wasteful number, since it uses less digits than its factorization.

28587901141800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 28587901141800 in words is "twenty-eight trillion, five hundred eighty-seven billion, nine hundred one million, one hundred forty-one thousand, eight hundred".