28636723584 has 512 divisors, whose sum is σ = 103109760000. Its totient is φ = 7637925888.

The previous prime is 28636723519. The next prime is 28636723589. The reversal of 28636723584 is 48532763682.

28636723584 is a `hidden beast` number, since 2 + 8 + 6 + 36 + 7 + 23 + 584 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28636723584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28636723589) 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, 73616062 + ... + 73616450.

It is an arithmetic number, because the mean of its divisors is an integer number (201386250).

Almost surely, 2^28636723584 is an apocalyptic number.

28636723584 is a gapful number since it is divisible by the number (24) 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 28636723584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51554880000).

28636723584 is an abundant number, since it is smaller than the sum of its proper divisors (74473036416).

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

28636723584 is a wasteful number, since it uses less digits than its factorization.

28636723584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 597 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 28636723584 in words is "twenty-eight billion, six hundred thirty-six million, seven hundred twenty-three thousand, five hundred eighty-four".