Search a number
-
+
28338048 = 2732171447
BaseRepresentation
bin110110000011…
…0011110000000
31222022201111100
41230012132000
524223304143
62451214400
7462604134
oct154063600
958281440
1028338048
1114aa5882
1295a7400
135b4269b
143a993c4
15274b6d3
hex1b06780

28338048 has 96 divisors (see below), whose sum is σ = 86402160. Its totient is φ = 8884224.

The previous prime is 28337983. The next prime is 28338049. The reversal of 28338048 is 84083382.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28338049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18861 + ... + 20307.

Almost surely, 228338048 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 28338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43201080).

28338048 is an abundant number, since it is smaller than the sum of its proper divisors (58064112).

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

28338048 is a wasteful number, since it uses less digits than its factorization.

28338048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28338048 is about 5323.3493216207. The cubic root of 28338048 is about 304.8760510416.

The spelling of 28338048 in words is "twenty-eight million, three hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1447 1632 2176 2448 2894 3264 4341 4896 5788 6528 8682 9792 11576 13023 17364 19584 23152 24599 26046 34728 46304 49198 52092 69456 73797 92608 98396 104184 138912 147594 185216 196792 208368 221391 277824 295188 393584 416736 442782 555648 590376 787168 833472 885564 1180752 1574336 1666944 1771128 2361504 3148672 3542256 4723008 7084512 9446016 14169024 28338048