28442400 has 144 divisors (see below), whose sum is σ = 105868224. Its totient is φ = 6497280.

The previous prime is 28442399. The next prime is 28442413. The reversal of 28442400 is 424482.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15954 + ... + 17646.

It is an arithmetic number, because the mean of its divisors is an integer number (735196).

Almost surely, 2^28442400 is an apocalyptic number.

28442400 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 28442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934112).

28442400 is an abundant number, since it is smaller than the sum of its proper divisors (77425824).

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

28442400 is a wasteful number, since it uses less digits than its factorization.

28442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 28442400 is about 5333.1416632225. The cubic root of 28442400 is about 305.2498177202.

Adding to 28442400 its reverse (424482), we get a palindrome (28866882).

The spelling of 28442400 in words is "twenty-eight million, four hundred forty-two thousand, four hundred".