28326400 has 60 divisors (see below), whose sum is σ = 70212582. Its totient is φ = 11325440.

The previous prime is 28326391. The next prime is 28326401. The reversal of 28326400 is 462382.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 27373824 + 952576 = 5232^2 + 976^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28326401) 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, 11694 + ... + 13906.

Almost surely, 2^28326400 is an apocalyptic number.

28326400 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 28326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35106291).

28326400 is an abundant number, since it is smaller than the sum of its proper divisors (41886182).

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

28326400 is an equidigital number, since it uses as much as digits as its factorization.

28326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 28326400 is about 5322.2551611136. The cubic root of 28326400 is about 304.8342734886.

Adding to 28326400 its reverse (462382), we get a palindrome (28788782).

The spelling of 28326400 in words is "twenty-eight million, three hundred twenty-six thousand, four hundred".