28145847951360 has 1008 divisors, whose sum is σ = 102685589422416. Its totient is φ = 7127376592896.

The previous prime is 28145847951341. The next prime is 28145847951371. The reversal of 28145847951360 is 6315974854182.

It is a happy number.

28145847951360 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 58 + 4 + 7 + 9 + 513 + 60 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 21700730232 + ... + 21700731528.

It is an arithmetic number, because the mean of its divisors is an integer number (101870624427).

It is a 1-persistent number, because it is pandigital, but 2⋅28145847951360 = 56291695902720 is not.

Almost surely, 2^{28145847951360} is an apocalyptic number.

28145847951360 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 28145847951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51342794711208).

28145847951360 is an abundant number, since it is smaller than the sum of its proper divisors (74539741471056).

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

28145847951360 is a wasteful number, since it uses less digits than its factorization.

28145847951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 28145847951360 in words is "twenty-eight trillion, one hundred forty-five billion, eight hundred forty-seven million, nine hundred fifty-one thousand, three hundred sixty".