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28144248 = 23311176271
BaseRepresentation
bin110101101011…
…1001001111000
31221221212122120
41223113021320
524201103443
62443121240
7461136126
oct153271170
957855576
1028144248
1114983210
129513220
135aa5402
143a48916
15270e083
hex1ad7278

28144248 has 64 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 8025600.

The previous prime is 28144247. The next prime is 28144261. The reversal of 28144248 is 84244182.

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 not an unprimeable number, because it can be changed into a prime (28144243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353 + ... + 7623.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 228144248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28144248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

28144248 is an abundant number, since it is smaller than the sum of its proper divisors (53140872).

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

28144248 is a wasteful number, since it uses less digits than its factorization.

28144248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308 (or 6304 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 28144248 is about 5305.1152673622. The cubic root of 28144248 is about 304.1794589061.

The spelling of 28144248 in words is "twenty-eight million, one hundred forty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 6271 12542 18813 25084 37626 50168 68981 75252 106607 137962 150504 206943 213214 275924 319821 413886 426428 551848 639642 827772 852856 1172677 1279284 1655544 2345354 2558568 3518031 4690708 7036062 9381416 14072124 28144248