28441152000 has 640 divisors, whose sum is σ = 106732454400. Its totient is φ = 7464960000.

The previous prime is 28441151993. The next prime is 28441152001. The reversal of 28441152000 is 25114482.

28441152000 is a `hidden beast` number, since 2 + 8 + 441 + 15 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28441152001) 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, 188351925 + ... + 188352075.

It is an arithmetic number, because the mean of its divisors is an integer number (166769460).

Almost surely, 2^28441152000 is an apocalyptic number.

28441152000 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 28441152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53366227200).

28441152000 is an abundant number, since it is smaller than the sum of its proper divisors (78291302400).

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

28441152000 is a wasteful number, since it uses less digits than its factorization.

28441152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 28441152000 its reverse (25114482), we get a palindrome (28466266482).

The spelling of 28441152000 in words is "twenty-eight billion, four hundred forty-one million, one hundred fifty-two thousand".