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28272288 = 2531141653
BaseRepresentation
bin110101111011…
…0011010100000
31222012101021210
41223312122200
524214203123
62445550120
7462211332
oct153663240
958171253
1028272288
1114a60430
129575340
135b1b785
143a7d452
152736e93
hex1af66a0

28272288 has 96 divisors (see below), whose sum is σ = 83063232. Its totient is φ = 8345600.

The previous prime is 28272287. The next prime is 28272301. The reversal of 28272288 is 88227282.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (28272287) 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, 42970 + ... + 43622.

It is an arithmetic number, because the mean of its divisors is an integer number (865242).

Almost surely, 228272288 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 28272288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41531616).

28272288 is an abundant number, since it is smaller than the sum of its proper divisors (54790944).

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

28272288 is a wasteful number, since it uses less digits than its factorization.

28272288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 28272288 is about 5317.1691716552. The cubic root of 28272288 is about 304.6400411709.

It can be divided in two parts, 2827 and 2288, that added together give a palindrome (5115).

The spelling of 28272288 in words is "twenty-eight million, two hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 653 656 902 984 1056 1306 1312 1353 1804 1959 1968 2612 2706 3608 3918 3936 5224 5412 7183 7216 7836 10448 10824 14366 14432 15672 20896 21549 21648 26773 28732 31344 43098 43296 53546 57464 62688 80319 86196 107092 114928 160638 172392 214184 229856 294503 321276 344784 428368 589006 642552 689568 856736 883509 1178012 1285104 1767018 2356024 2570208 3534036 4712048 7068072 9424096 14136144 28272288