28844160 has 128 divisors (see below), whose sum is σ = 93562560. Its totient is φ = 7557120.

The previous prime is 28844159. The next prime is 28844161. The reversal of 28844160 is 6144882.

It is an interprime number because it is at equal distance from previous prime (28844159) and next prime (28844161).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×28844160² = 1663971132211200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28844161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159270 + ... + 159450.

Almost surely, 2^28844160 is an apocalyptic number.

28844160 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 28844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781280).

28844160 is an abundant number, since it is smaller than the sum of its proper divisors (64718400).

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

28844160 is a wasteful number, since it uses less digits than its factorization.

28844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 28844160 is about 5370.6759351128. The cubic root of 28844160 is about 306.6803606571.

The spelling of 28844160 in words is "twenty-eight million, eight hundred forty-four thousand, one hundred sixty".