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28853440 = 2657111171
BaseRepresentation
bin110111000010…
…0010011000000
32000021220110221
41232010103000
524341302230
62510232424
7500151550
oct156042300
960256427
1028853440
1115318020
1297b5714
135c93155
143b91160
1527ee27a
hex1b844c0

28853440 has 112 divisors (see below), whose sum is σ = 85734144. Its totient is φ = 8985600.

The previous prime is 28853423. The next prime is 28853443. The reversal of 28853440 is 4435882.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 28853396 and 28853405.

It is not an unprimeable number, because it can be changed into a prime (28853443) 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, 24055 + ... + 25225.

Almost surely, 228853440 is an apocalyptic number.

28853440 is a gapful number since it is divisible by the number (20) 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 28853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42867072).

28853440 is an abundant number, since it is smaller than the sum of its proper divisors (56880704).

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

28853440 is a wasteful number, since it uses less digits than its factorization.

28853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 28853440 is about 5371.5398164772. The cubic root of 28853440 is about 306.7132464428.

Subtracting from 28853440 its sum of digits (34), we obtain a triangular number (28853406 = T7596).

The spelling of 28853440 in words is "twenty-eight million, eight hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1171 1232 1540 1760 2240 2342 2464 3080 3520 4684 4928 5855 6160 8197 9368 11710 12320 12881 16394 18736 23420 24640 25762 32788 37472 40985 46840 51524 64405 65576 74944 81970 90167 93680 103048 128810 131152 163940 180334 187360 206096 257620 262304 327880 360668 374720 412192 450835 515240 524608 655760 721336 824384 901670 1030480 1311520 1442672 1803340 2060960 2623040 2885344 3606680 4121920 5770688 7213360 14426720 28853440