28696800 has 144 divisors (see below), whose sum is σ = 101993472. Its totient is φ = 6950400.

The previous prime is 28696777. The next prime is 28696807. The reversal of 28696800 is 869682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28696807) 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, 25857 + ... + 26943.

It is an arithmetic number, because the mean of its divisors is an integer number (708288).

Almost surely, 2^28696800 is an apocalyptic number.

28696800 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 28696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50996736).

28696800 is an abundant number, since it is smaller than the sum of its proper divisors (73296672).

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

28696800 is a wasteful number, since it uses less digits than its factorization.

28696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 28696800 is about 5356.9394247089. The cubic root of 28696800 is about 306.1572091503.

It can be divided in two parts, 2869 and 6800, that added together give a palindrome (9669).

The spelling of 28696800 in words is "twenty-eight million, six hundred ninety-six thousand, eight hundred".