28264287744 has 800 divisors, whose sum is σ = 107804100096. Its totient is φ = 7159726080.

The previous prime is 28264287707. The next prime is 28264287757. The reversal of 28264287744 is 44778246282.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169247149 + ... + 169247315.

Almost surely, 2^28264287744 is an apocalyptic number.

28264287744 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 28264287744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53902050048).

28264287744 is an abundant number, since it is smaller than the sum of its proper divisors (79539812352).

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

28264287744 is a wasteful number, since it uses less digits than its factorization.

28264287744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The spelling of 28264287744 in words is "twenty-eight billion, two hundred sixty-four million, two hundred eighty-seven thousand, seven hundred forty-four".