28578955680 has 576 divisors, whose sum is σ = 115971730560. Its totient is φ = 6517555200.

The previous prime is 28578955637. The next prime is 28578955681. The reversal of 28578955680 is 8655987582.

28578955680 is a `hidden beast` number, since 2 + 8 + 5 + 78 + 9 + 556 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (28578955681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13732240 + ... + 13734320.

It is an arithmetic number, because the mean of its divisors is an integer number (201339810).

Almost surely, 2^28578955680 is an apocalyptic number.

28578955680 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 28578955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57985865280).

28578955680 is an abundant number, since it is smaller than the sum of its proper divisors (87392774880).

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

28578955680 is a wasteful number, since it uses less digits than its factorization.

28578955680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 28578955680 in words is "twenty-eight billion, five hundred seventy-eight million, nine hundred fifty-five thousand, six hundred eighty".