28266129228100 has 81 divisors (see below), whose sum is σ = 62197790423223. Its totient is φ = 11150037613440.

The previous prime is 28266129228097. The next prime is 28266129228101. The reversal of 28266129228100 is 182292166282.

The square root of 28266129228100 is 5316590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 154670731524 + 28111458496576 = 393282^2 + 5302024^2 .

It is a super-2 number, since 2×28266129228100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28266129228101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3881107059 + ... + 3881114341.

Almost surely, 2^{28266129228100} is an apocalyptic number.

28266129228100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28266129228100 is the 5316590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28266129228100

28266129228100 is an abundant number, since it is smaller than the sum of its proper divisors (33931661195123).

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

28266129228100 is an frugal number, since it uses more digits than its factorization.

28266129228100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14726 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 28266129228100 in words is "twenty-eight trillion, two hundred sixty-six billion, one hundred twenty-nine million, two hundred twenty-eight thousand, one hundred".