28382400 has 252 divisors, whose sum is σ = 106047032. Its totient is φ = 7464960.

The previous prime is 28382383. The next prime is 28382411. The reversal of 28382400 is 428382.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388764 + ... + 388836.

Almost surely, 2^28382400 is an apocalyptic number.

28382400 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 28382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53023516).

28382400 is an abundant number, since it is smaller than the sum of its proper divisors (77664632).

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

28382400 is an equidigital number, since it uses as much as digits as its factorization.

28382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28382400 is about 5327.5134913015. The cubic root of 28382400 is about 305.0350224049.

It can be divided in two parts, 28382 and 400, that added together give a palindrome (28782).

The spelling of 28382400 in words is "twenty-eight million, three hundred eighty-two thousand, four hundred".