28261300 has 72 divisors (see below), whose sum is σ = 64417752. Its totient is φ = 10752000.

The previous prime is 28261291. The next prime is 28261301. The reversal of 28261300 is 316282.

It can be written as a sum of positive squares in 12 ways, for example, as 27815076 + 446224 = 5274^2 + 668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28261301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250044 + ... + 250156.

It is an arithmetic number, because the mean of its divisors is an integer number (894691).

Almost surely, 2^28261300 is an apocalyptic number.

28261300 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 28261300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32208876).

28261300 is an abundant number, since it is smaller than the sum of its proper divisors (36156452).

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

28261300 is a wasteful number, since it uses less digits than its factorization.

28261300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 28261300 is about 5316.1358146684. The cubic root of 28261300 is about 304.6005700285.

Adding to 28261300 its reverse (316282), we get a palindrome (28577582).

It can be divided in two parts, 28261 and 300, that added together give a 4-th power (28561 = 13⁴).

The spelling of 28261300 in words is "twenty-eight million, two hundred sixty-one thousand, three hundred".