28643569200 has 180 divisors, whose sum is σ = 100161578088. Its totient is φ = 7579852800.

The previous prime is 28643569189. The next prime is 28643569211. The reversal of 28643569200 is 296534682.

28643569200 is a `hidden beast` number, since 2 + 8 + 6 + 435 + 6 + 9 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (28643569189) and next prime (28643569211).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 441232 + ... + 501968.

Almost surely, 2^28643569200 is an apocalyptic number.

28643569200 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 28643569200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50080789044).

28643569200 is an abundant number, since it is smaller than the sum of its proper divisors (71518008888).

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

28643569200 is a wasteful number, since it uses less digits than its factorization.

28643569200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60892 (or 60878 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 28643569200 in words is "twenty-eight billion, six hundred forty-three million, five hundred sixty-nine thousand, two hundred".