28361800 has 48 divisors (see below), whose sum is σ = 66597300. Its totient is φ = 11232000.

The previous prime is 28361717. The next prime is 28361819. The reversal of 28361800 is 816382.

It can be written as a sum of positive squares in 6 ways, for example, as 3740356 + 24621444 = 1934^2 + 4962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21150 + ... + 22450.

Almost surely, 2^28361800 is an apocalyptic number.

28361800 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 28361800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33298650).

28361800 is an abundant number, since it is smaller than the sum of its proper divisors (38235500).

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

28361800 is a wasteful number, since it uses less digits than its factorization.

28361800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 28361800 is about 5325.5797806436. The cubic root of 28361800 is about 304.9612062099.

It can be divided in two parts, 28361 and 800, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 28361800 in words is "twenty-eight million, three hundred sixty-one thousand, eight hundred".