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28849344 = 2633137131
BaseRepresentation
bin110111000001…
…1010011000000
32000021200212020
41232003103000
524341134334
62510201440
7500133606
oct156032300
960250766
1028849344
1115314a37
1297b3280
135c91324
143b8d876
1527ece49
hex1b834c0

28849344 has 112 divisors (see below), whose sum is σ = 81540096. Its totient is φ = 8985600.

The previous prime is 28849343. The next prime is 28849349. The reversal of 28849344 is 44394882.

It is a junction number, because it is equal to n+sod(n) for n = 28849296 and 28849305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28849343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220159 + ... + 220289.

Almost surely, 228849344 is an apocalyptic number.

28849344 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 28849344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40770048).

28849344 is an abundant number, since it is smaller than the sum of its proper divisors (52690752).

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

28849344 is a wasteful number, since it uses less digits than its factorization.

28849344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 28849344 is about 5371.1585342457. The cubic root of 28849344 is about 306.6987322068.

The spelling of 28849344 in words is "twenty-eight million, eight hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 131 148 186 192 222 248 262 296 372 393 444 496 524 592 744 786 888 992 1048 1147 1184 1488 1572 1776 1984 2096 2294 2368 2976 3144 3441 3552 4061 4192 4588 4847 5952 6288 6882 7104 8122 8384 9176 9694 12183 12576 13764 14541 16244 18352 19388 24366 25152 27528 29082 32488 36704 38776 48732 55056 58164 64976 73408 77552 97464 110112 116328 129952 150257 155104 194928 220224 232656 259904 300514 310208 389856 450771 465312 601028 779712 901542 930624 1202056 1803084 2404112 3606168 4808224 7212336 9616448 14424672 28849344