28971145359360 has 416 divisors, whose sum is σ = 104015904874560. Its totient is φ = 7649132544000.

The previous prime is 28971145359323. The next prime is 28971145359383. The reversal of 28971145359360 is 6395354117982.

28971145359360 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 1 + 1 + 4 + 535 + 93 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55589590 + ... + 56108330.

It is a 1-persistent number, because it is pandigital, but 2⋅28971145359360 = 57942290718720 is not.

Almost surely, 2^{28971145359360} is an apocalyptic number.

28971145359360 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 28971145359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52007952437280).

28971145359360 is an abundant number, since it is smaller than the sum of its proper divisors (75044759515200).

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

28971145359360 is a wasteful number, since it uses less digits than its factorization.

28971145359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518880 (or 518852 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 28971145359360 in words is "twenty-eight trillion, nine hundred seventy-one billion, one hundred forty-five million, three hundred fifty-nine thousand, three hundred sixty".