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28238448 = 2437229367
BaseRepresentation
bin110101110111…
…0001001110000
31222010122212110
41223232021300
524212112243
62445125320
7462010560
oct153561160
958118773
1028238448
1114a37a67
129559840
135b09254
143a70da0
15272be33
hex1aee270

28238448 has 80 divisors (see below), whose sum is σ = 83962880. Its totient is φ = 8011008.

The previous prime is 28238447. The next prime is 28238519. The reversal of 28238448 is 84483282.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28238447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76761 + ... + 77127.

It is an arithmetic number, because the mean of its divisors is an integer number (1049536).

Almost surely, 228238448 is an apocalyptic number.

28238448 is a gapful number since it is divisible by the number (28) 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 28238448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41981440).

28238448 is an abundant number, since it is smaller than the sum of its proper divisors (55724432).

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

28238448 is a wasteful number, since it uses less digits than its factorization.

28238448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 28238448 is about 5313.9860745019. The cubic root of 28238448 is about 304.5184481962.

The spelling of 28238448 in words is "twenty-eight million, two hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 336 367 458 687 734 916 1101 1374 1468 1603 1832 2202 2569 2748 2936 3206 3664 4404 4809 5138 5496 5872 6412 7707 8808 9618 10276 10992 12824 15414 17616 19236 20552 25648 30828 38472 41104 61656 76944 84043 123312 168086 252129 336172 504258 588301 672344 1008516 1176602 1344688 1764903 2017032 2353204 3529806 4034064 4706408 7059612 9412816 14119224 28238448