28585672360 has 256 divisors, whose sum is σ = 79781760000. Its totient is φ = 9001918464.

The previous prime is 28585672303. The next prime is 28585672393. The reversal of 28585672360 is 6327658582.

It is a junction number, because it is equal to n+sod(n) for n = 28585672298 and 28585672307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50238156 + ... + 50238724.

It is an arithmetic number, because the mean of its divisors is an integer number (311647500).

Almost surely, 2^28585672360 is an apocalyptic number.

28585672360 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 28585672360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39890880000).

28585672360 is an abundant number, since it is smaller than the sum of its proper divisors (51196087640).

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

28585672360 is a wasteful number, since it uses less digits than its factorization.

28585672360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 28585672360 in words is "twenty-eight billion, five hundred eighty-five million, six hundred seventy-two thousand, three hundred sixty".