28126800 has 180 divisors, whose sum is σ = 105291004. Its totient is φ = 6912000.

The previous prime is 28126793. The next prime is 28126843. The reversal of 28126800 is 862182.

It can be written as a sum of positive squares in 6 ways, for example, as 627264 + 27499536 = 792^2 + 5244^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×28126800² = 1582233756480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46500 + ... + 47100.

Almost surely, 2^28126800 is an apocalyptic number.

28126800 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 28126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52645502).

28126800 is an abundant number, since it is smaller than the sum of its proper divisors (77164204).

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

28126800 is a wasteful number, since it uses less digits than its factorization.

28126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28126800 is about 5303.4705618114. The cubic root of 28126800 is about 304.1165873224.

Adding to 28126800 its reverse (862182), we get a palindrome (28988982).

The spelling of 28126800 in words is "twenty-eight million, one hundred twenty-six thousand, eight hundred".