28854823536000 has 4096 divisors, whose sum is σ = 136863771033600. Its totient is φ = 5851118592000.

The previous prime is 28854823535999. The next prime is 28854823536017. The reversal of 28854823536000 is 63532845882.

It is a happy number.

28854823536000 is a `hidden beast` number, since 2 + 8 + 8 + 5 + 4 + 8 + 23 + 5 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 269671247947 + ... + 269671248053.

It is an arithmetic number, because the mean of its divisors is an integer number (33414006600).

Almost surely, 2^{28854823536000} is an apocalyptic number.

28854823536000 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 28854823536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68431885516800).

28854823536000 is an abundant number, since it is smaller than the sum of its proper divisors (108008947497600).

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

28854823536000 is a wasteful number, since it uses less digits than its factorization.

28854823536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 28854823536000 in words is "twenty-eight trillion, eight hundred fifty-four billion, eight hundred twenty-three million, five hundred thirty-six thousand".