28454400 has 360 divisors, whose sum is σ = 115435320. Its totient is φ = 6635520.

The previous prime is 28454389. The next prime is 28454407. The reversal of 28454400 is 445482.

28454400 = T₆₁ + T₆₂ + ... + T₅₅₄.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28454407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1497591 + ... + 1497609.

Almost surely, 2^28454400 is an apocalyptic number.

28454400 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 28454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57717660).

28454400 is an abundant number, since it is smaller than the sum of its proper divisors (86980920).

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

28454400 is a wasteful number, since it uses less digits than its factorization.

28454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 28454400 is about 5334.2665850143. The cubic root of 28454400 is about 305.2927405255.

Adding to 28454400 its reverse (445482), we get a palindrome (28899882).

The spelling of 28454400 in words is "twenty-eight million, four hundred fifty-four thousand, four hundred".