28142035200 has 216 divisors, whose sum is σ = 103194610400. Its totient is φ = 7504496640.

The previous prime is 28142035177. The next prime is 28142035219. The reversal of 28142035200 is 253024182.

28142035200 is a `hidden beast` number, since 2 + 8 + 1 + 420 + 35 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91371 + ... + 254229.

Almost surely, 2^28142035200 is an apocalyptic number.

28142035200 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 28142035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51597305200).

28142035200 is an abundant number, since it is smaller than the sum of its proper divisors (75052575200).

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

28142035200 is a wasteful number, since it uses less digits than its factorization.

28142035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162894 (or 162869 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 28142035200 its reverse (253024182), we get a palindrome (28395059382).

The spelling of 28142035200 in words is "twenty-eight billion, one hundred forty-two million, thirty-five thousand, two hundred".