28171467394560 has 800 divisors, whose sum is σ = 121385135139840. Its totient is φ = 6100281704448.

The previous prime is 28171467394559. The next prime is 28171467394573. The reversal of 28171467394560 is 6549376417182.

28171467394560 is a `hidden beast` number, since 2 + 8 + 1 + 7 + 1 + 4 + 67 + 3 + 9 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27068137 + ... + 28089623.

It is a 2-persistent number, because it is pandigital, and so is 2⋅28171467394560 = 56342934789120, but 3⋅28171467394560 = 84514402183680 is not.

Almost surely, 2^{28171467394560} is an apocalyptic number.

28171467394560 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 28171467394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60692567569920).

28171467394560 is an abundant number, since it is smaller than the sum of its proper divisors (93213667745280).

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

28171467394560 is a wasteful number, since it uses less digits than its factorization.

28171467394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021548 (or 1021523 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 28171467394560 in words is "twenty-eight trillion, one hundred seventy-one billion, four hundred sixty-seven million, three hundred ninety-four thousand, five hundred sixty".