28806252052536 has 256 divisors, whose sum is σ = 92008949760000. Its totient is φ = 8180018098560.

The previous prime is 28806252052531. The next prime is 28806252052537. The reversal of 28806252052536 is 63525025260882.

28806252052536 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 6 + 2 + 52 + 0 + 52 + 536 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28806252052531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231874165 + ... + 231998363.

It is an arithmetic number, because the mean of its divisors is an integer number (359409960000).

Almost surely, 2^{28806252052536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28806252052536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46004474880000).

28806252052536 is an abundant number, since it is smaller than the sum of its proper divisors (63202697707464).

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

28806252052536 is a wasteful number, since it uses less digits than its factorization.

28806252052536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125159 (or 125149 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 28806252052536 in words is "twenty-eight trillion, eight hundred six billion, two hundred fifty-two million, fifty-two thousand, five hundred thirty-six".