28643473351800 has 480 divisors, whose sum is σ = 104388553526400. Its totient is φ = 7265327857920.

The previous prime is 28643473351789. The next prime is 28643473351837. The reversal of 28643473351800 is 815337434682.

It is a happy number.

28643473351800 is a `hidden beast` number, since 2 + 8 + 6 + 43 + 473 + 3 + 51 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66480667 + ... + 66910133.

It is an arithmetic number, because the mean of its divisors is an integer number (217476153180).

Almost surely, 2^{28643473351800} is an apocalyptic number.

28643473351800 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 28643473351800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52194276763200).

28643473351800 is an abundant number, since it is smaller than the sum of its proper divisors (75745080174600).

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

28643473351800 is a wasteful number, since it uses less digits than its factorization.

28643473351800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429697 (or 429679 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 28643473351800 in words is "twenty-eight trillion, six hundred forty-three billion, four hundred seventy-three million, three hundred fifty-one thousand, eight hundred".