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28995824 = 241113192329
BaseRepresentation
bin110111010011…
…1000011110000
32000120010210102
41232213003300
524410331244
62513251532
7501313634
oct156470360
960503712
1028995824
1115404aa0
129863ba8
136012bc0
143bcadc4
15282b54e
hex1ba70f0

28995824 has 160 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 10644480.

The previous prime is 28995821. The next prime is 28995833. The reversal of 28995824 is 42859982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28995821) 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, 999842 + ... + 999870.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 228995824 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 28995824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

28995824 is an abundant number, since it is smaller than the sum of its proper divisors (45999376).

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

28995824 is a wasteful number, since it uses less digits than its factorization.

28995824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its digits is 414720, while the sum is 47.

The square root of 28995824 is about 5384.7770613090. Note that the first 3 decimals coincide. The cubic root of 28995824 is about 307.2169347399.

It can be divided in two parts, 289958 and 24, that added together give a palindrome (289982).

The spelling of 28995824 in words is "twenty-eight million, nine hundred ninety-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 19 22 23 26 29 38 44 46 52 58 76 88 92 104 116 143 152 176 184 208 209 232 247 253 286 299 304 319 368 377 418 437 464 494 506 551 572 598 638 667 754 836 874 988 1012 1102 1144 1196 1276 1334 1508 1672 1748 1976 2024 2204 2288 2392 2552 2668 2717 3016 3289 3344 3496 3952 4048 4147 4408 4784 4807 5104 5336 5434 5681 6032 6061 6578 6992 7163 7337 8294 8671 8816 9614 10672 10868 11362 12122 12673 13156 14326 14674 16588 17342 19228 21736 22724 24244 25346 26312 28652 29348 33176 34684 38456 43472 45448 48488 50692 52624 57304 58696 62491 66352 69368 76912 78793 90896 95381 96976 101384 114608 117392 124982 138736 139403 157586 164749 190762 202768 249964 278806 315172 329498 381524 499928 557612 630344 658996 763048 999856 1115224 1260688 1317992 1526096 1812239 2230448 2635984 3624478 7248956 14497912 28995824