28587630231160 has 1024 divisors, whose sum is σ = 90597143347200. Its totient is φ = 7831296000000.

The previous prime is 28587630231131. The next prime is 28587630231317. The reversal of 28587630231160 is 6113203678582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 28587630231098 and 28587630231107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27728059845 + ... + 27728060875.

It is an arithmetic number, because the mean of its divisors is an integer number (88473772800).

Almost surely, 2^{28587630231160} is an apocalyptic number.

28587630231160 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 28587630231160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45298571673600).

28587630231160 is an abundant number, since it is smaller than the sum of its proper divisors (62009513116040).

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

28587630231160 is a wasteful number, since it uses less digits than its factorization.

28587630231160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 28587630231160 in words is "twenty-eight trillion, five hundred eighty-seven billion, six hundred thirty million, two hundred thirty-one thousand, one hundred sixty".