Search a number
-
+
28339584 = 273713811
BaseRepresentation
bin110110000011…
…0110110000000
31222022210121020
41230012312000
524223331314
62451225440
7462611460
oct154066600
958283536
1028339584
1114aa6a49
1295a8280
135b432b0
143a99ba0
15274bda9
hex1b06d80

28339584 has 128 divisors (see below), whose sum is σ = 92762880. Its totient is φ = 7464960.

The previous prime is 28339573. The next prime is 28339589. The reversal of 28339584 is 48593382.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28339589) 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, 34539 + ... + 35349.

It is an arithmetic number, because the mean of its divisors is an integer number (724710).

Almost surely, 228339584 is an apocalyptic number.

28339584 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 28339584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46381440).

28339584 is an abundant number, since it is smaller than the sum of its proper divisors (64423296).

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

28339584 is a wasteful number, since it uses less digits than its factorization.

28339584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 836 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 28339584 is about 5323.4935897397. The cubic root of 28339584 is about 304.8815593151.

The spelling of 28339584 in words is "twenty-eight million, three hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 811 832 896 1092 1248 1344 1456 1622 1664 2184 2433 2496 2688 2912 3244 4368 4866 4992 5677 5824 6488 8736 9732 10543 11354 11648 12976 17031 17472 19464 21086 22708 25952 31629 34062 34944 38928 42172 45416 51904 63258 68124 73801 77856 84344 90832 103808 126516 136248 147602 155712 168688 181664 221403 253032 272496 295204 311424 337376 363328 442806 506064 544992 590408 674752 726656 885612 1012128 1089984 1180816 1349504 1771224 2024256 2179968 2361632 3542448 4048512 4723264 7084896 9446528 14169792 28339584