28981103228100 has 243 divisors, whose sum is σ = 91290902126151. Its totient is φ = 7690093516800.

The previous prime is 28981103228053. The next prime is 28981103228131. The reversal of 28981103228100 is 182230118982.

The square root of 28981103228100 is 5383410.

It is a perfect power (a square), and thus also a powerful number.

28981103228100 is a `hidden beast` number, since 28 + 98 + 110 + 322 + 8 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8182906494084 + 20798196734016 = 2860578^2 + 4560504^2 .

It is a super-2 number, since 2×28981103228100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 50227215012 + ... + 50227215588.

Almost surely, 2^{28981103228100} is an apocalyptic number.

28981103228100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28981103228100 is the 5383410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28981103228100

28981103228100 is an abundant number, since it is smaller than the sum of its proper divisors (62309798898051).

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

28981103228100 is an equidigital number, since it uses as much as digits as its factorization.

28981103228100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 28981103228100 in words is "twenty-eight trillion, nine hundred eighty-one billion, one hundred three million, two hundred twenty-eight thousand, one hundred".