28287337344 has 128 divisors (see below), whose sum is σ = 85931393280. Its totient is φ = 8076533760.

The previous prime is 28287337333. The next prime is 28287337349. The reversal of 28287337344 is 44373378282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28287337349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5402952 + ... + 5408184.

It is an arithmetic number, because the mean of its divisors is an integer number (671339010).

Almost surely, 2^28287337344 is an apocalyptic number.

28287337344 is a gapful number since it is divisible by the number (24) 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 28287337344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42965696640).

28287337344 is an abundant number, since it is smaller than the sum of its proper divisors (57644055936).

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

28287337344 is a wasteful number, since it uses less digits than its factorization.

28287337344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7268 (or 7256 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 51.

The spelling of 28287337344 in words is "twenty-eight billion, two hundred eighty-seven million, three hundred thirty-seven thousand, three hundred forty-four".