28588336560 has 640 divisors, whose sum is σ = 117421056000. Its totient is φ = 6387655680.

The previous prime is 28588336547. The next prime is 28588336573. The reversal of 28588336560 is 6563388582.

28588336560 is a `hidden beast` number, since 2 + 8 + 588 + 3 + 3 + 6 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28588336547) and next prime (28588336573).

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

It is a junction number, because it is equal to n+sod(n) for n = 28588336497 and 28588336506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34820950 + ... + 34821770.

It is an arithmetic number, because the mean of its divisors is an integer number (183470400).

Almost surely, 2^28588336560 is an apocalyptic number.

28588336560 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 28588336560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58710528000).

28588336560 is an abundant number, since it is smaller than the sum of its proper divisors (88832719440).

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

28588336560 is a wasteful number, since it uses less digits than its factorization.

28588336560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 28588336560 in words is "twenty-eight billion, five hundred eighty-eight million, three hundred thirty-six thousand, five hundred sixty".