28204329600 has 1152 divisors, whose sum is σ = 116017574400. Its totient is φ = 6733393920.

The previous prime is 28204329583. The next prime is 28204329613. The reversal of 28204329600 is 692340282.

28204329600 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 43 + 2 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 339811159 + ... + 339811241.

It is an arithmetic number, because the mean of its divisors is an integer number (100709700).

Almost surely, 2^28204329600 is an apocalyptic number.

28204329600 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 28204329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58008787200).

28204329600 is an abundant number, since it is smaller than the sum of its proper divisors (87813244800).

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

28204329600 is a wasteful number, since it uses less digits than its factorization.

28204329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 28204329600 its reverse (692340282), we get a palindrome (28896669882).

The spelling of 28204329600 in words is "twenty-eight billion, two hundred four million, three hundred twenty-nine thousand, six hundred".