28981825200 has 180 divisors, whose sum is σ = 100696778208. Its totient is φ = 7719129600.

The previous prime is 28981825133. The next prime is 28981825219. The reversal of 28981825200 is 252818982.

28981825200 is a `hidden beast` number, since 28 + 98 + 18 + 2 + 520 + 0 = 666.

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 a congruent number.

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, 3275182 + ... + 3284018.

Almost surely, 2^28981825200 is an apocalyptic number.

28981825200 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 28981825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50348389104).

28981825200 is an abundant number, since it is smaller than the sum of its proper divisors (71714953008).

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

28981825200 is a wasteful number, since it uses less digits than its factorization.

28981825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 28981825200 in words is "twenty-eight billion, nine hundred eighty-one million, eight hundred twenty-five thousand, two hundred".