Search a number
-
+
28560384 = 210331033
BaseRepresentation
bin110110011110…
…0110000000000
31222202000111000
41230330300000
524302413014
62500052000
7464521266
oct154746000
958660430
1028560384
1115137926
129694000
135bbc948
143b16436
152792509
hex1b3cc00

28560384 has 88 divisors (see below), whose sum is σ = 84663920. Its totient is φ = 9510912.

The previous prime is 28560379. The next prime is 28560403. The reversal of 28560384 is 48306582.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27132 + ... + 28164.

It is an arithmetic number, because the mean of its divisors is an integer number (962090).

Almost surely, 228560384 is an apocalyptic number.

28560384 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 28560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42331960).

28560384 is an abundant number, since it is smaller than the sum of its proper divisors (56103536).

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

28560384 is a wasteful number, since it uses less digits than its factorization.

28560384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 28560384 is about 5344.1916133312. The cubic root of 28560384 is about 305.6713118122.

The spelling of 28560384 in words is "twenty-eight million, five hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1033 1152 1536 1728 2066 2304 3072 3099 3456 4132 4608 6198 6912 8264 9216 9297 12396 13824 16528 18594 24792 27648 27891 33056 37188 49584 55782 66112 74376 99168 111564 132224 148752 198336 223128 264448 297504 396672 446256 528896 595008 793344 892512 1057792 1190016 1586688 1785024 2380032 3173376 3570048 4760064 7140096 9520128 14280192 28560384