28434166043200 has 84 divisors (see below), whose sum is σ = 70025067335412. Its totient is φ = 11364035123200.

The previous prime is 28434166043161. The next prime is 28434166043207. The reversal of 28434166043200 is 234066143482.

It can be written as a sum of positive squares in 6 ways, for example, as 4625699753536 + 23808466289664 = 2150744^2 + 4879392^2 .

It is not an unprimeable number, because it can be changed into a prime (28434166043207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5634259 + ... + 9413458.

It is an arithmetic number, because the mean of its divisors is an integer number (833631753993).

Almost surely, 2^{28434166043200} is an apocalyptic number.

28434166043200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28434166043200 is an abundant number, since it is smaller than the sum of its proper divisors (41590901292212).

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

28434166043200 is a wasteful number, since it uses less digits than its factorization.

28434166043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15048920 (or 15048905 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 28434166043200 in words is "twenty-eight trillion, four hundred thirty-four billion, one hundred sixty-six million, forty-three thousand, two hundred".