28862193604608 has 1536 divisors, whose sum is σ = 108682269696000. Its totient is φ = 7366223462400.

The previous prime is 28862193604589. The next prime is 28862193604631. The reversal of 28862193604608 is 80640639126882.

28862193604608 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 2 + 19 + 3 + 6 + 0 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19891242283 + ... + 19891243733.

It is an arithmetic number, because the mean of its divisors is an integer number (70756686000).

Almost surely, 2^{28862193604608} is an apocalyptic number.

28862193604608 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 28862193604608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54341134848000).

28862193604608 is an abundant number, since it is smaller than the sum of its proper divisors (79820076091392).

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

28862193604608 is a wasteful number, since it uses less digits than its factorization.

28862193604608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 28862193604608 in words is "twenty-eight trillion, eight hundred sixty-two billion, one hundred ninety-three million, six hundred four thousand, six hundred eight".