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28236384 = 2533112971
BaseRepresentation
bin110101110110…
…1101001100000
31222010120001000
41223231221200
524212031014
62445112000
7462001551
oct153555140
958116030
1028236384
1114a36460
129558600
135b08327
143a70328
15272b509
hex1aeda60

28236384 has 96 divisors (see below), whose sum is σ = 89873280. Its totient is φ = 8553600.

The previous prime is 28236379. The next prime is 28236389. The reversal of 28236384 is 48363282.

It is an interprime number because it is at equal distance from previous prime (28236379) and next prime (28236389).

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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28236389) 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 15 ways as a sum of consecutive naturals, for example, 8019 + ... + 10989.

It is an arithmetic number, because the mean of its divisors is an integer number (936180).

Almost surely, 228236384 is an apocalyptic number.

28236384 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 28236384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44936640).

28236384 is an abundant number, since it is smaller than the sum of its proper divisors (61636896).

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

28236384 is a wasteful number, since it uses less digits than its factorization.

28236384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2987 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 28236384 is about 5313.7918664547. The cubic root of 28236384 is about 304.5110287447.

The spelling of 28236384 in words is "twenty-eight million, two hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 2971 3168 4752 5942 8913 9504 11884 17826 23768 26739 32681 35652 47536 53478 65362 71304 80217 95072 98043 106956 130724 142608 160434 196086 213912 261448 285216 294129 320868 392172 427824 522896 588258 641736 784344 855648 882387 1045792 1176516 1283472 1568688 1764774 2353032 2566944 3137376 3529548 4706064 7059096 9412128 14118192 28236384