28345877683200 has 4752 divisors, whose sum is σ = 141335280463104. Its totient is φ = 5449619865600.

The previous prime is 28345877683157. The next prime is 28345877683231. The reversal of 28345877683200 is 238677854382.

28345877683200 is a `hidden beast` number, since 2 + 8 + 345 + 8 + 7 + 7 + 6 + 83 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

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 431 ways as a sum of consecutive naturals, for example, 480438604771 + ... + 480438604829.

Almost surely, 2^{28345877683200} is an apocalyptic number.

28345877683200 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 28345877683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70667640231552).

28345877683200 is an abundant number, since it is smaller than the sum of its proper divisors (112989402779904).

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

28345877683200 is a wasteful number, since it uses less digits than its factorization.

28345877683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 28345877683200 in words is "twenty-eight trillion, three hundred forty-five billion, eight hundred seventy-seven million, six hundred eighty-three thousand, two hundred".