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28192248 = 23327261131
BaseRepresentation
bin110101110001…
…0110111111000
31222001022111100
41223202313320
524204122443
62444131400
7461426100
oct153426770
958038440
1028192248
1114a06287
129536b60
135ac1206
143a5c200
15271d3d3
hex1ae2df8

28192248 has 144 divisors (see below), whose sum is σ = 90965160. Its totient is φ = 7862400.

The previous prime is 28192217. The next prime is 28192249. The reversal of 28192248 is 84229182.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (28192249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215143 + ... + 215273.

Almost surely, 228192248 is an apocalyptic number.

28192248 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 28192248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45482580).

28192248 is an abundant number, since it is smaller than the sum of its proper divisors (62772912).

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

28192248 is a wasteful number, since it uses less digits than its factorization.

28192248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 28192248 is about 5309.6372757468. The cubic root of 28192248 is about 304.3522866593.

It can be divided in two parts, 281 and 92248, that added together give a palindrome (92529).

The spelling of 28192248 in words is "twenty-eight million, one hundred ninety-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 61 63 72 84 98 122 126 131 147 168 183 196 244 252 262 294 366 392 393 427 441 488 504 524 549 588 732 786 854 882 917 1048 1098 1176 1179 1281 1464 1572 1708 1764 1834 2196 2358 2562 2751 2989 3144 3416 3528 3668 3843 4392 4716 5124 5502 5978 6419 7336 7686 7991 8253 8967 9432 10248 11004 11956 12838 15372 15982 16506 17934 19257 22008 23912 23973 25676 26901 30744 31964 33012 35868 38514 47946 51352 53802 55937 57771 63928 66024 71736 71919 77028 95892 107604 111874 115542 143838 154056 167811 191784 215208 223748 231084 287676 335622 391559 447496 462168 503433 575352 671244 783118 1006866 1174677 1342488 1566236 2013732 2349354 3132472 3524031 4027464 4698708 7048062 9397416 14096124 28192248