28471359720960 has 800 divisors, whose sum is σ = 109897795465920. Its totient is φ = 7003350761472.

The previous prime is 28471359720917. The next prime is 28471359720961. The reversal of 28471359720960 is 6902795317482.

28471359720960 is a `hidden beast` number, since 2 + 8 + 4 + 7 + 13 + 597 + 20 + 9 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28471359720961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5049005821 + ... + 5049011459.

It is a 1-persistent number, because it is pandigital, but 2⋅28471359720960 = 56942719441920 is not.

Almost surely, 2^{28471359720960} is an apocalyptic number.

28471359720960 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 28471359720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54948897732960).

28471359720960 is an abundant number, since it is smaller than the sum of its proper divisors (81426435744960).

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

28471359720960 is a wasteful number, since it uses less digits than its factorization.

28471359720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560 (or 7535 counting only the distinct ones).

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

The spelling of 28471359720960 in words is "twenty-eight trillion, four hundred seventy-one billion, three hundred fifty-nine million, seven hundred twenty thousand, nine hundred sixty".