28125436560 has 320 divisors, whose sum is σ = 99406137600. Its totient is φ = 6528098304.

The previous prime is 28125436511. The next prime is 28125436571. The reversal of 28125436560 is 6563452182.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3887026 + ... + 3894254.

It is an arithmetic number, because the mean of its divisors is an integer number (310644180).

Almost surely, 2^28125436560 is an apocalyptic number.

28125436560 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 28125436560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49703068800).

28125436560 is an abundant number, since it is smaller than the sum of its proper divisors (71280701040).

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

28125436560 is a wasteful number, since it uses less digits than its factorization.

28125436560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 7324 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 28125436560 in words is "twenty-eight billion, one hundred twenty-five million, four hundred thirty-six thousand, five hundred sixty".