28583686914048 has 360 divisors, whose sum is σ = 94858275640128. Its totient is φ = 8124396208128.

The previous prime is 28583686913981. The next prime is 28583686914077. The reversal of 28583686914048 is 84041968638582.

28583686914048 is a `hidden beast` number, since 2 + 8 + 58 + 3 + 6 + 86 + 91 + 404 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199141315 + ... + 199284797.

Almost surely, 2^{28583686914048} is an apocalyptic number.

28583686914048 is a gapful number since it is divisible by the number (28) 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 28583686914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47429137820064).

28583686914048 is an abundant number, since it is smaller than the sum of its proper divisors (66274588726080).

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

28583686914048 is a wasteful number, since it uses less digits than its factorization.

28583686914048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143717 (or 143688 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 28583686914048 in words is "twenty-eight trillion, five hundred eighty-three billion, six hundred eighty-six million, nine hundred fourteen thousand, forty-eight".