28885714560 has 640 divisors, whose sum is σ = 110966922000. Its totient is φ = 7134511104.

The previous prime is 28885714549. The next prime is 28885714579. The reversal of 28885714560 is 6541758882.

28885714560 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 5 + 71 + 4 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19170063936 + 9715650624 = 138456^2 + 98568^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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 = 28885714497 and 28885714506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64333216 + ... + 64333664.

Almost surely, 2^28885714560 is an apocalyptic number.

28885714560 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 28885714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55483461000).

28885714560 is an abundant number, since it is smaller than the sum of its proper divisors (82081207440).

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

28885714560 is a wasteful number, since it uses less digits than its factorization.

28885714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 28885714560 in words is "twenty-eight billion, eight hundred eighty-five million, seven hundred fourteen thousand, five hundred sixty".