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28369824 = 2537237163
BaseRepresentation
bin110110000111…
…0001110100000
31222101100002020
41230032032200
524230313244
62452021440
7463065600
oct154161640
958340066
1028369824
111501773a
129601880
135b53ca2
143aa6c00
152755d19
hex1b0e3a0

28369824 has 144 divisors (see below), whose sum is σ = 89516448. Its totient is φ = 7838208.

The previous prime is 28369813. The next prime is 28369829. The reversal of 28369824 is 42896382.

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 (28369829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173967 + ... + 174129.

It is an arithmetic number, because the mean of its divisors is an integer number (621642).

Almost surely, 228369824 is an apocalyptic number.

28369824 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 28369824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44758224).

28369824 is an abundant number, since it is smaller than the sum of its proper divisors (61146624).

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

28369824 is a wasteful number, since it uses less digits than its factorization.

28369824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 28369824 is about 5326.3330725744. Note that the first 3 decimals coincide. The cubic root of 28369824 is about 304.9899629412.

It can be divided in two parts, 283 and 69824, that added together give a palindrome (70107).

The spelling of 28369824 in words is "twenty-eight million, three hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 74 84 96 98 111 112 147 148 163 168 196 222 224 259 294 296 326 336 392 444 489 518 588 592 652 672 777 784 888 978 1036 1141 1176 1184 1304 1554 1568 1776 1813 1956 2072 2282 2352 2608 3108 3423 3552 3626 3912 4144 4564 4704 5216 5439 6031 6216 6846 7252 7824 7987 8288 9128 10878 12062 12432 13692 14504 15648 15974 18093 18256 21756 23961 24124 24864 27384 29008 31948 36186 36512 42217 43512 47922 48248 54768 58016 63896 72372 84434 87024 95844 96496 109536 126651 127792 144744 168868 174048 191688 192992 253302 255584 289488 295519 337736 383376 506604 578976 591038 675472 766752 886557 1013208 1182076 1350944 1773114 2026416 2364152 3546228 4052832 4728304 7092456 9456608 14184912 28369824