28460200 has 72 divisors (see below), whose sum is σ = 69429150. Its totient is φ = 10848640.

The previous prime is 28460197. The next prime is 28460203. The reversal of 28460200 is 206482.

It is an interprime number because it is at equal distance from previous prime (28460197) and next prime (28460203).

It can be written as a sum of positive squares in 3 ways, for example, as 13883076 + 14577124 = 3726^2 + 3818^2 .

It is not an unprimeable number, because it can be changed into a prime (28460203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105666 + ... + 105934.

Almost surely, 2^28460200 is an apocalyptic number.

28460200 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 28460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34714575).

28460200 is an abundant number, since it is smaller than the sum of its proper divisors (40968950).

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

28460200 is a wasteful number, since it uses less digits than its factorization.

28460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 28460200 is about 5334.8102121819. The cubic root of 28460200 is about 305.3134822221.

Adding to 28460200 its reverse (206482), we get a palindrome (28666682).

The spelling of 28460200 in words is "twenty-eight million, four hundred sixty thousand, two hundred".