28126644100 has 81 divisors (see below), whose sum is σ = 63183985263. Its totient is φ = 10867608000.

The previous prime is 28126644089. The next prime is 28126644103. The reversal of 28126644100 is 144662182.

The square root of 28126644100 is 167710.

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 1659258756 + 26467385344 = 40734^2 + 162688^2 .

It is a super-2 number, since 2×28126644100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28126644103) 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, 51989830 + ... + 51990370.

Almost surely, 2^28126644100 is an apocalyptic number.

28126644100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28126644100 is the 167710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28126644100

28126644100 is an abundant number, since it is smaller than the sum of its proper divisors (35057341163).

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

28126644100 is an equidigital number, since it uses as much as digits as its factorization.

28126644100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 28126644100 in words is "twenty-eight billion, one hundred twenty-six million, six hundred forty-four thousand, one hundred".