28140800 has 54 divisors (see below), whose sum is σ = 69668718. Its totient is φ = 11253760.

The previous prime is 28140793. The next prime is 28140803. The reversal of 28140800 is 804182.

It can be written as a sum of positive squares in 3 ways, for example, as 1597696 + 26543104 = 1264^2 + 5152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28140803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4202 + ... + 8598.

Almost surely, 2^28140800 is an apocalyptic number.

28140800 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 28140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34834359).

28140800 is an abundant number, since it is smaller than the sum of its proper divisors (41527918).

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

28140800 is an equidigital number, since it uses as much as digits as its factorization.

28140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 28140800 is about 5304.7902880321. The cubic root of 28140800 is about 304.1670365501.

Adding to 28140800 its reverse (804182), we get a palindrome (28944982).

The spelling of 28140800 in words is "twenty-eight million, one hundred forty thousand, eight hundred".