28585160448 has 288 divisors, whose sum is σ = 84765628416. Its totient is φ = 8494792704.

The previous prime is 28585160447. The next prime is 28585160501. The reversal of 28585160448 is 84406158582.

It is a super-2 number, since 2×28585160448² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28585160448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28585160447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82377811 + ... + 82378157.

Almost surely, 2^28585160448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28585160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42382814208).

28585160448 is an abundant number, since it is smaller than the sum of its proper divisors (56180467968).

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

28585160448 is a wasteful number, since it uses less digits than its factorization.

28585160448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 51.

The spelling of 28585160448 in words is "twenty-eight billion, five hundred eighty-five million, one hundred sixty thousand, four hundred forty-eight".