28466834244480 has 1280 divisors, whose sum is σ = 114676216300800. Its totient is φ = 6686709055488.

The previous prime is 28466834244479. The next prime is 28466834244491. The reversal of 28466834244480 is 8444243866482.

28466834244480 is a `hidden beast` number, since 2 + 8 + 46 + 68 + 34 + 24 + 4 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1389768319 + ... + 1389788801.

It is an arithmetic number, because the mean of its divisors is an integer number (89590793985).

Almost surely, 2^{28466834244480} is an apocalyptic number.

28466834244480 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 28466834244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57338108150400).

28466834244480 is an abundant number, since it is smaller than the sum of its proper divisors (86209382056320).

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

28466834244480 is a wasteful number, since it uses less digits than its factorization.

28466834244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20633 (or 20612 counting only the distinct ones).

The product of its (nonzero) digits is 226492416, while the sum is 63.

The spelling of 28466834244480 in words is "twenty-eight trillion, four hundred sixty-six billion, eight hundred thirty-four million, two hundred forty-four thousand, four hundred eighty".