28867881600 has 240 divisors, whose sum is σ = 106529787870. Its totient is φ = 7698032640.

The previous prime is 28867881563. The next prime is 28867881607. The reversal of 28867881600 is 618876882.

28867881600 is a `hidden beast` number, since 28 + 8 + 6 + 7 + 8 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27638397504 + 1229484096 = 166248^2 + 35064^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (28867881607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 203514 + ... + 314886.

Almost surely, 2^28867881600 is an apocalyptic number.

28867881600 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 28867881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53264893935).

28867881600 is an abundant number, since it is smaller than the sum of its proper divisors (77661906270).

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

28867881600 is a wasteful number, since it uses less digits than its factorization.

28867881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111409 (or 111383 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 28867881600 in words is "twenty-eight billion, eight hundred sixty-seven million, eight hundred eighty-one thousand, six hundred".