28315200 has 168 divisors, whose sum is σ = 98645472. Its totient is φ = 7086080.

The previous prime is 28315193. The next prime is 28315207. The reversal of 28315200 is 251382.

It is an interprime number because it is at equal distance from previous prime (28315193) and next prime (28315207).

It is not an unprimeable number, because it can be changed into a prime (28315207) 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, 81427 + ... + 81773.

Almost surely, 2^28315200 is an apocalyptic number.

28315200 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 28315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49322736).

28315200 is an abundant number, since it is smaller than the sum of its proper divisors (70330272).

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

28315200 is a wasteful number, since it uses less digits than its factorization.

28315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 28315200 is about 5321.2028715320. The cubic root of 28315200 is about 304.7940919626.

Adding to 28315200 its reverse (251382), we get a palindrome (28566582).

The spelling of 28315200 in words is "twenty-eight million, three hundred fifteen thousand, two hundred".