28288569544704 has 416 divisors, whose sum is σ = 95997660272640. Its totient is φ = 8064105873408.

The previous prime is 28288569544637. The next prime is 28288569544751. The reversal of 28288569544704 is 40744596588282.

It is a happy number.

28288569544704 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 8 + 5 + 6 + 9 + 544 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342904549 + ... + 342987035.

Almost surely, 2^{28288569544704} is an apocalyptic number.

28288569544704 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 28288569544704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47998830136320).

28288569544704 is an abundant number, since it is smaller than the sum of its proper divisors (67709090727936).

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

28288569544704 is an equidigital number, since it uses as much as digits as its factorization.

28288569544704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82970 (or 82942 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 28288569544704 in words is "twenty-eight trillion, two hundred eighty-eight billion, five hundred sixty-nine million, five hundred forty-four thousand, seven hundred four".