28636446720 has 768 divisors, whose sum is σ = 112961368800. Its totient is φ = 6165626880.

The previous prime is 28636446697. The next prime is 28636446763. The reversal of 28636446720 is 2764463682.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28636446720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698449900 + ... + 698449940.

Almost surely, 2^28636446720 is an apocalyptic number.

28636446720 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 28636446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56480684400).

28636446720 is an abundant number, since it is smaller than the sum of its proper divisors (84324922080).

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

28636446720 is an equidigital number, since it uses as much as digits as its factorization.

28636446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 28636446720 in words is "twenty-eight billion, six hundred thirty-six million, four hundred forty-six thousand, seven hundred twenty".