28663455744 has 1008 divisors, whose sum is σ = 114211266624. Its totient is φ = 7007109120.

The previous prime is 28663455701. The next prime is 28663455749. The reversal of 28663455744 is 44755436682.

28663455744 is a `hidden beast` number, since 2 + 8 + 6 + 63 + 4 + 5 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×28663455744³ (a number of 32 digits) contains 333 as substring.

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

Its product of digits (19353600) is a multiple of the sum of its prime divisors (40).

It is not an unprimeable number, because it can be changed into a prime (28663455749) 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 71 ways as a sum of consecutive naturals, for example, 1686085624 + ... + 1686085640.

It is an arithmetic number, because the mean of its divisors is an integer number (113304828).

Almost surely, 2^28663455744 is an apocalyptic number.

28663455744 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 28663455744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57105633312).

28663455744 is an abundant number, since it is smaller than the sum of its proper divisors (85547810880).

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

28663455744 is an equidigital number, since it uses as much as digits as its factorization.

28663455744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

It can be divided in two parts, 286634 and 55744, that added together give a triangular number (342378 = T₈₂₇).

The spelling of 28663455744 in words is "twenty-eight billion, six hundred sixty-three million, four hundred fifty-five thousand, seven hundred forty-four".