28124400 has 120 divisors (see below), whose sum is σ = 94101120. Its totient is φ = 7166720.

The previous prime is 28124399. The next prime is 28124407. The reversal of 28124400 is 442182.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28124407) 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, 27091 + ... + 28109.

It is an arithmetic number, because the mean of its divisors is an integer number (784176).

Almost surely, 2^28124400 is an apocalyptic number.

28124400 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 28124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47050560).

28124400 is an abundant number, since it is smaller than the sum of its proper divisors (65976720).

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

28124400 is a wasteful number, since it uses less digits than its factorization.

28124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 28124400 is about 5303.2442900549. The cubic root of 28124400 is about 304.1079372026.

Adding to 28124400 its reverse (442182), we get a palindrome (28566582).

The spelling of 28124400 in words is "twenty-eight million, one hundred twenty-four thousand, four hundred".