28381881600 has 540 divisors, whose sum is σ = 107024267196. Its totient is φ = 7418511360.

The previous prime is 28381881589. The next prime is 28381881601. The reversal of 28381881600 is 618818382.

28381881600 is a `hidden beast` number, since 2 + 8 + 38 + 1 + 8 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2044486656 + 26337394944 = 45216^2 + 162288^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28381881601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27474684 + ... + 27475716.

Almost surely, 2^28381881600 is an apocalyptic number.

28381881600 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 28381881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53512133598).

28381881600 is an abundant number, since it is smaller than the sum of its proper divisors (78642385596).

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

28381881600 is a wasteful number, since it uses less digits than its factorization.

28381881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 28381881600 in words is "twenty-eight billion, three hundred eighty-one million, eight hundred eighty-one thousand, six hundred".