28585473235200 has 1944 divisors, whose sum is σ = 131356443149568. Its totient is φ = 5881884180480.

The previous prime is 28585473235153. The next prime is 28585473235321. The reversal of 28585473235200 is 253237458582.

28585473235200 is a `hidden beast` number, since 2 + 8 + 5 + 85 + 4 + 7 + 32 + 3 + 520 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1103545449 + ... + 1103571351.

Almost surely, 2^{28585473235200} is an apocalyptic number.

28585473235200 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 28585473235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65678221574784).

28585473235200 is an abundant number, since it is smaller than the sum of its proper divisors (102770969914368).

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

28585473235200 is a wasteful number, since it uses less digits than its factorization.

28585473235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25989 (or 25960 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 28585473235200 in words is "twenty-eight trillion, five hundred eighty-five billion, four hundred seventy-three million, two hundred thirty-five thousand, two hundred".