28441733760 has 768 divisors, whose sum is σ = 115826630400. Its totient is φ = 6358302720.

The previous prime is 28441733699. The next prime is 28441733777. The reversal of 28441733760 is 6733714482.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42260784 + ... + 42261456.

It is an arithmetic number, because the mean of its divisors is an integer number (150815925).

Almost surely, 2^28441733760 is an apocalyptic number.

28441733760 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 28441733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57913315200).

28441733760 is an abundant number, since it is smaller than the sum of its proper divisors (87384896640).

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

28441733760 is a wasteful number, since it uses less digits than its factorization.

28441733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 28441733760 in words is "twenty-eight billion, four hundred forty-one million, seven hundred thirty-three thousand, seven hundred sixty".