28285947740160 has 1728 divisors, whose sum is σ = 113056731051264. Its totient is φ = 6726824755200.

The previous prime is 28285947740129. The next prime is 28285947740173. The reversal of 28285947740160 is 6104774958282.

It is a happy number.

28285947740160 is a `hidden beast` number, since 2 + 8 + 2 + 85 + 94 + 7 + 7 + 401 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×28285947740160² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117369077640 + ... + 117369077880.

It is an arithmetic number, because the mean of its divisors is an integer number (65426348988).

Almost surely, 2^{28285947740160} is an apocalyptic number.

28285947740160 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 28285947740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56528365525632).

28285947740160 is an abundant number, since it is smaller than the sum of its proper divisors (84770783311104).

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

28285947740160 is an frugal number, since it uses more digits than its factorization.

28285947740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 28285947740160 in words is "twenty-eight trillion, two hundred eighty-five billion, nine hundred forty-seven million, seven hundred forty thousand, one hundred sixty".