28626175843200 has 1152 divisors, whose sum is σ = 115414835477760. Its totient is φ = 6707183616000.

The previous prime is 28626175843151. The next prime is 28626175843241. The reversal of 28626175843200 is 234857162682.

28626175843200 is a `hidden beast` number, since 2 + 8 + 6 + 26 + 1 + 7 + 584 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 707970184 + ... + 708010616.

It is an arithmetic number, because the mean of its divisors is an integer number (100186489130).

Almost surely, 2^{28626175843200} is an apocalyptic number.

28626175843200 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 28626175843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57707417738880).

28626175843200 is an abundant number, since it is smaller than the sum of its proper divisors (86788659634560).

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

28626175843200 is a wasteful number, since it uses less digits than its factorization.

28626175843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40568 (or 40548 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 28626175843200 in words is "twenty-eight trillion, six hundred twenty-six billion, one hundred seventy-five million, eight hundred forty-three thousand, two hundred".