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28382838 = 23114373137
BaseRepresentation
bin110110001000…
…1011001110110
31222101222221020
41230101121312
524231222323
62452202010
7463151541
oct154213166
958358836
1028382838
11150264a0
129609306
135b59ba3
143aab858
152759ae3
hex1b11676

28382838 has 64 divisors (see below), whose sum is σ = 64703232. Its totient is φ = 8225280.

The previous prime is 28382833. The next prime is 28382857. The reversal of 28382838 is 83828382.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 28382838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28382833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207106 + ... + 207242.

It is an arithmetic number, because the mean of its divisors is an integer number (1010988).

Almost surely, 228382838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28382838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32351616).

28382838 is an abundant number, since it is smaller than the sum of its proper divisors (36320394).

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

28382838 is a wasteful number, since it uses less digits than its factorization.

28382838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269.

The product of its digits is 147456, while the sum is 42.

The square root of 28382838 is about 5327.5545985001. The cubic root of 28382838 is about 305.0365915070.

The spelling of 28382838 in words is "twenty-eight million, three hundred eighty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 43 66 73 86 129 137 146 219 258 274 411 438 473 803 822 946 1419 1507 1606 2409 2838 3014 3139 4521 4818 5891 6278 9042 9417 10001 11782 17673 18834 20002 30003 34529 35346 60006 64801 69058 103587 110011 129602 194403 207174 220022 330033 388806 430043 660066 860086 1290129 2580258 4730473 9460946 14191419 28382838