28444416 has 288 divisors, whose sum is σ = 104391168. Its totient is φ = 6635520.

The previous prime is 28444393. The next prime is 28444421. The reversal of 28444416 is 61444482.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768750 + ... + 768786.

Almost surely, 2^28444416 is an apocalyptic number.

28444416 is a gapful number since it is divisible by the number (26) 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 28444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52195584).

28444416 is an abundant number, since it is smaller than the sum of its proper divisors (75946752).

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

28444416 is a wasteful number, since it uses less digits than its factorization.

28444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 28444416 is about 5333.3306666660. The cubic root of 28444416 is about 305.2570295951.

Adding to 28444416 its reverse (61444482), we get a palindrome (89888898).

It can be divided in two parts, 2844 and 4416, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 28444416 in words is "twenty-eight million, four hundred forty-four thousand, four hundred sixteen".