28446400 has 84 divisors (see below), whose sum is σ = 73133712. Its totient is φ = 10869760.

The previous prime is 28446367. The next prime is 28446413. The reversal of 28446400 is 464482.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36414 + ... + 37186.

Almost surely, 2^28446400 is an apocalyptic number.

28446400 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 28446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36566856).

28446400 is an abundant number, since it is smaller than the sum of its proper divisors (44687312).

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

28446400 is a wasteful number, since it uses less digits than its factorization.

28446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 28446400 is about 5333.5166635157. The cubic root of 28446400 is about 305.2641266632.

The spelling of 28446400 in words is "twenty-eight million, four hundred forty-six thousand, four hundred".