28118400 has 192 divisors, whose sum is σ = 96757200. Its totient is φ = 7168000.

The previous prime is 28118399. The next prime is 28118407. The reversal of 28118400 is 481182.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28118407) 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, 278350 + ... + 278450.

Almost surely, 2^28118400 is an apocalyptic number.

28118400 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 28118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48378600).

28118400 is an abundant number, since it is smaller than the sum of its proper divisors (68638800).

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

28118400 is a wasteful number, since it uses less digits than its factorization.

28118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 28118400 is about 5302.6785684218. The cubic root of 28118400 is about 304.0863097499.

Adding to 28118400 its reverse (481182), we get a palindrome (28599582).

It can be divided in two parts, 2811 and 8400, that added together give a palindrome (11211).

The spelling of 28118400 in words is "twenty-eight million, one hundred eighteen thousand, four hundred".