28644632991744 has 1152 divisors, whose sum is σ = 101265510528000. Its totient is φ = 7034099466240.

The previous prime is 28644632991713. The next prime is 28644632991769. The reversal of 28644632991744 is 44719923644682.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

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, 10652521152 + ... + 10652523840.

It is an arithmetic number, because the mean of its divisors is an integer number (87904089000).

Almost surely, 2^{28644632991744} is an apocalyptic number.

28644632991744 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 28644632991744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50632755264000).

28644632991744 is an abundant number, since it is smaller than the sum of its proper divisors (72620877536256).

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

28644632991744 is a wasteful number, since it uses less digits than its factorization.

28644632991744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2824 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 69.

The spelling of 28644632991744 in words is "twenty-eight trillion, six hundred forty-four billion, six hundred thirty-two million, nine hundred ninety-one thousand, seven hundred forty-four".