28739317351680 has 864 divisors, whose sum is σ = 111613256681472. Its totient is φ = 6779510784000.

The previous prime is 28739317351627. The next prime is 28739317351681. The reversal of 28739317351680 is 8615371393782.

28739317351680 is a `hidden beast` number, since 2 + 8 + 7 + 3 + 9 + 31 + 7 + 3 + 516 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28739317351681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 478153630 + ... + 478213730.

It is an arithmetic number, because the mean of its divisors is an integer number (129182010048).

Almost surely, 2^{28739317351680} is an apocalyptic number.

28739317351680 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 28739317351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55806628340736).

28739317351680 is an abundant number, since it is smaller than the sum of its proper divisors (82873939329792).

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

28739317351680 is a wasteful number, since it uses less digits than its factorization.

28739317351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60275 (or 60258 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 28739317351680 in words is "twenty-eight trillion, seven hundred thirty-nine billion, three hundred seventeen million, three hundred fifty-one thousand, six hundred eighty".