28206429700 has 72 divisors (see below), whose sum is σ = 62881678440. Its totient is φ = 10975641600.

The previous prime is 28206429697. The next prime is 28206429709. The reversal of 28206429700 is 792460282.

It can be written as a sum of positive squares in 12 ways, for example, as 24321650116 + 3884779584 = 155954^2 + 62328^2 .

It is a super-3 number, since 3×28206429700³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (28206429709) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1437556 + ... + 1457044.

It is an arithmetic number, because the mean of its divisors is an integer number (873356645).

Almost surely, 2^28206429700 is an apocalyptic number.

28206429700 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 28206429700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31440839220).

28206429700 is an abundant number, since it is smaller than the sum of its proper divisors (34675248740).

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

28206429700 is a wasteful number, since it uses less digits than its factorization.

28206429700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19897 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

Adding to 28206429700 its reverse (792460282), we get a palindrome (28998889982).

The spelling of 28206429700 in words is "twenty-eight billion, two hundred six million, four hundred twenty-nine thousand, seven hundred".