Search a number
-
+
28263984 = 2437261197
BaseRepresentation
bin110101111010…
…0011000110000
31222011221220020
41223310120300
524213421414
62445443440
7462145200
oct153643060
958157806
1028263984
1114a55171
129570580
135b17a68
143a7a400
1527347a9
hex1af4630

28263984 has 120 divisors (see below), whose sum is σ = 86766768. Its totient is φ = 7902720.

The previous prime is 28263931. The next prime is 28264007. The reversal of 28263984 is 48936282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143374 + ... + 143570.

Almost surely, 228263984 is an apocalyptic number.

28263984 is a gapful number since it is divisible by the number (24) 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 28263984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43383384).

28263984 is an abundant number, since it is smaller than the sum of its proper divisors (58502784).

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

28263984 is a wasteful number, since it uses less digits than its factorization.

28263984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 28263984 is about 5316.3882476734. The cubic root of 28263984 is about 304.6102124494.

The spelling of 28263984 in words is "twenty-eight million, two hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 197 244 294 336 366 392 394 427 488 588 591 732 784 788 854 976 1176 1182 1281 1379 1464 1576 1708 2352 2364 2562 2758 2928 2989 3152 3416 4137 4728 5124 5516 5978 6832 8274 8967 9456 9653 10248 11032 11956 12017 16548 17934 19306 20496 22064 23912 24034 28959 33096 35868 36051 38612 47824 48068 57918 66192 71736 72102 77224 84119 96136 115836 143472 144204 154448 168238 192272 231672 252357 288408 336476 463344 504714 576816 588833 672952 1009428 1177666 1345904 1766499 2018856 2355332 3532998 4037712 4710664 7065996 9421328 14131992 28263984