28153834200 has 336 divisors, whose sum is σ = 101323723200. Its totient is φ = 7264339200.

The previous prime is 28153834171. The next prime is 28153834237. The reversal of 28153834200 is 243835182.

28153834200 is a `hidden beast` number, since 2 + 8 + 153 + 83 + 420 + 0 = 666.

It is a super-2 number, since 2×28153834200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4516686 + ... + 4522914.

It is an arithmetic number, because the mean of its divisors is an integer number (301558700).

Almost surely, 2^28153834200 is an apocalyptic number.

28153834200 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 28153834200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50661861600).

28153834200 is an abundant number, since it is smaller than the sum of its proper divisors (73169889000).

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

28153834200 is a wasteful number, since it uses less digits than its factorization.

28153834200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28153834200 in words is "twenty-eight billion, one hundred fifty-three million, eight hundred thirty-four thousand, two hundred".