28268500 has 48 divisors (see below), whose sum is σ = 66502800. Its totient is φ = 10435200.

The previous prime is 28268483. The next prime is 28268503. The reversal of 28268500 is 586282.

It can be written as a sum of positive squares in 8 ways, for example, as 22867524 + 5400976 = 4782^2 + 2324^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28268503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4326 + ... + 8674.

It is an arithmetic number, because the mean of its divisors is an integer number (1385475).

Almost surely, 2^28268500 is an apocalyptic number.

28268500 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 28268500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33251400).

28268500 is an abundant number, since it is smaller than the sum of its proper divisors (38234300).

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

28268500 is a wasteful number, since it uses less digits than its factorization.

28268500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 28268500 is about 5316.8129551452. The cubic root of 28268500 is about 304.6264350557.

The spelling of 28268500 in words is "twenty-eight million, two hundred sixty-eight thousand, five hundred".