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28834960 = 24571131151
BaseRepresentation
bin110110111111…
…1110010010000
32000020222010111
41231333302100
524340204320
62510011104
7500043640
oct155776220
960228114
1028834960
1115305150
1297a6a94
135c8790b
143b88520
1527e8a5a
hex1b7fc90

28834960 has 160 divisors (see below), whose sum is σ = 86851584. Its totient is φ = 8640000.

The previous prime is 28834943. The next prime is 28834963. The reversal of 28834960 is 6943882.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (28834963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190885 + ... + 191035.

Almost surely, 228834960 is an apocalyptic number.

28834960 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 28834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43425792).

28834960 is an abundant number, since it is smaller than the sum of its proper divisors (58016624).

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

28834960 is a wasteful number, since it uses less digits than its factorization.

28834960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 28834960 is about 5369.8193638148. The cubic root of 28834960 is about 306.6477514063.

The spelling of 28834960 in words is "twenty-eight million, eight hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 151 154 155 176 217 220 248 280 302 308 310 341 385 434 440 496 560 604 616 620 682 755 770 868 880 1057 1085 1208 1232 1240 1364 1510 1540 1661 1705 1736 2114 2170 2387 2416 2480 2728 3020 3080 3322 3410 3472 4228 4340 4681 4774 5285 5456 6040 6160 6644 6820 8305 8456 8680 9362 9548 10570 11627 11935 12080 13288 13640 16610 16912 17360 18724 19096 21140 23254 23405 23870 26576 27280 32767 33220 37448 38192 42280 46508 46810 47740 51491 58135 65534 66440 74896 84560 93016 93620 95480 102982 116270 131068 132880 163835 186032 187240 190960 205964 232540 257455 262136 327670 360437 374480 411928 465080 514910 524272 655340 720874 823856 930160 1029820 1310680 1441748 1802185 2059640 2621360 2883496 3604370 4119280 5766992 7208740 14417480 28834960