Search a number
-
+
28484352 = 283313317
BaseRepresentation
bin110110010101…
…0001100000000
31222121011012000
41230222030000
524242444402
62454304000
7464053521
oct154521400
958534160
1028484352
1115095796
129658000
135b94160
143ad6848
152779c1c
hex1b2a300

28484352 has 144 divisors (see below), whose sum is σ = 90998880. Its totient is φ = 8736768.

The previous prime is 28484321. The next prime is 28484371. The reversal of 28484352 is 25348482.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×284843523 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89698 + ... + 90014.

Almost surely, 228484352 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 28484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45499440).

28484352 is an abundant number, since it is smaller than the sum of its proper divisors (62514528).

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

28484352 is a wasteful number, since it uses less digits than its factorization.

28484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 28484352 is about 5337.0733553138. The cubic root of 28484352 is about 305.3998232212.

The spelling of 28484352 in words is "twenty-eight million, four hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 317 351 384 416 432 468 576 624 634 702 768 832 864 936 951 1152 1248 1268 1404 1664 1728 1872 1902 2304 2496 2536 2808 2853 3328 3456 3744 3804 4121 4992 5072 5616 5706 6912 7488 7608 8242 8559 9984 10144 11232 11412 12363 14976 15216 16484 17118 20288 22464 22824 24726 29952 30432 32968 34236 37089 40576 44928 45648 49452 60864 65936 68472 74178 81152 89856 91296 98904 111267 121728 131872 136944 148356 182592 197808 222534 243456 263744 273888 296712 365184 395616 445068 527488 547776 593424 730368 791232 890136 1054976 1095552 1186848 1582464 1780272 2191104 2373696 3164928 3560544 4747392 7121088 9494784 14242176 28484352