28657605060 has 192 divisors, whose sum is σ = 101993472000. Its totient is φ = 6543897984.

The previous prime is 28657605059. The next prime is 28657605071. The reversal of 28657605060 is 6050675682.

28657605060 is a `hidden beast` number, since 2 + 86 + 5 + 7 + 60 + 506 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 28657604997 and 28657605015.

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, 4619841 + ... + 4626039.

It is an arithmetic number, because the mean of its divisors is an integer number (531216000).

Almost surely, 2^28657605060 is an apocalyptic number.

28657605060 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 28657605060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50996736000).

28657605060 is an abundant number, since it is smaller than the sum of its proper divisors (73335866940).

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

28657605060 is a wasteful number, since it uses less digits than its factorization.

28657605060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 28657605060 in words is "twenty-eight billion, six hundred fifty-seven million, six hundred five thousand, sixty".