28444147200 has 540 divisors, whose sum is σ = 118436638320. Its totient is φ = 6500229120.

The previous prime is 28444147183. The next prime is 28444147217. The reversal of 28444147200 is 274144482.

28444147200 is a `hidden beast` number, since 2 + 8 + 4 + 441 + 4 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (28444147183) and next prime (28444147217).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5642281 + ... + 5647319.

It is an arithmetic number, because the mean of its divisors is an integer number (219327108).

Almost surely, 2^28444147200 is an apocalyptic number.

28444147200 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 28444147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59218319160).

28444147200 is an abundant number, since it is smaller than the sum of its proper divisors (89992491120).

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

28444147200 is a wasteful number, since it uses less digits than its factorization.

28444147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 28444147200 in words is "twenty-eight billion, four hundred forty-four million, one hundred forty-seven thousand, two hundred".