28610000 has 50 divisors (see below), whose sum is σ = 69291882. Its totient is φ = 11440000.

The previous prime is 28609961. The next prime is 28610003. The reversal of 28610000 is 1682.

It can be written as a sum of positive squares in 5 ways, for example, as 10394176 + 18215824 = 3224^2 + 4268^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28610003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8570 + ... + 11430.

Almost surely, 2^28610000 is an apocalyptic number.

28610000 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 28610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645941).

28610000 is an abundant number, since it is smaller than the sum of its proper divisors (40681882).

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

28610000 is an equidigital number, since it uses as much as digits as its factorization.

28610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 28610000 is about 5348.8316481265. The cubic root of 28610000 is about 305.8482166918.

Adding to 28610000 its reverse (1682), we get a palindrome (28611682).

The spelling of 28610000 in words is "twenty-eight million, six hundred ten thousand".