28625216000 has 160 divisors (see below), whose sum is σ = 73126413360. Its totient is φ = 11169792000.

The previous prime is 28625215987. The next prime is 28625216021. The reversal of 28625216000 is 61252682.

It can be written as a sum of positive squares in 8 ways, for example, as 1639926016 + 26985289984 = 40496^2 + 164272^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2618546 + ... + 2629454.

Almost surely, 2^28625216000 is an apocalyptic number.

28625216000 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 28625216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36563206680).

28625216000 is an abundant number, since it is smaller than the sum of its proper divisors (44501197360).

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

28625216000 is an equidigital number, since it uses as much as digits as its factorization.

28625216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10983 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 28625216000 its reverse (61252682), we get a palindrome (28686468682).

The spelling of 28625216000 in words is "twenty-eight billion, six hundred twenty-five million, two hundred sixteen thousand".