28260000 has 180 divisors, whose sum is σ = 101062962. Its totient is φ = 7488000.

The previous prime is 28259969. The next prime is 28260017. The reversal of 28260000 is 6282.

It can be written as a sum of positive squares in 5 ways, for example, as 144 + 28259856 = 12^2 + 5316^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179922 + ... + 180078.

Almost surely, 2^28260000 is an apocalyptic number.

28260000 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 28260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50531481).

28260000 is an abundant number, since it is smaller than the sum of its proper divisors (72802962).

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

28260000 is a wasteful number, since it uses less digits than its factorization.

28260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 28260000 is about 5316.0135440008. The cubic root of 28260000 is about 304.5958994859.

Adding to 28260000 its reverse (6282), we get a palindrome (28266282).

The spelling of 28260000 in words is "twenty-eight million, two hundred sixty thousand".