28444465152 has 288 divisors, whose sum is σ = 86184483840. Its totient is φ = 9026519040.

The previous prime is 28444465097. The next prime is 28444465157. The reversal of 28444465152 is 25156444482.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 28444465098 and 28444465107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28444465157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38282893 + ... + 38283635.

It is an arithmetic number, because the mean of its divisors is an integer number (299251680).

Almost surely, 2^28444465152 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 28444465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092241920).

28444465152 is an abundant number, since it is smaller than the sum of its proper divisors (57740018688).

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

28444465152 is a wasteful number, since it uses less digits than its factorization.

28444465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 846 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The spelling of 28444465152 in words is "twenty-eight billion, four hundred forty-four million, four hundred sixty-five thousand, one hundred fifty-two".