28678534560 has 288 divisors, whose sum is σ = 105571589760. Its totient is φ = 7047419904.

The previous prime is 28678534537. The next prime is 28678534649. The reversal of 28678534560 is 6543587682.

28678534560 is a `hidden beast` number, since 2 + 8 + 6 + 78 + 5 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×28678534560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28678534497 and 28678534506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17202847 + ... + 17204513.

It is an arithmetic number, because the mean of its divisors is an integer number (366568020).

Almost surely, 2^28678534560 is an apocalyptic number.

28678534560 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 28678534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52785794880).

28678534560 is an abundant number, since it is smaller than the sum of its proper divisors (76893055200).

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

28678534560 is a wasteful number, since it uses less digits than its factorization.

28678534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 28678534560 in words is "twenty-eight billion, six hundred seventy-eight million, five hundred thirty-four thousand, five hundred sixty".