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28962560 = 28511317
BaseRepresentation
bin110111001111…
…0111100000000
32000111110011102
41232132330000
524403300220
62512433532
7501114644
oct156367400
960443142
1028962560
1115392000
1298488a8
136000a13
143bbcc24
152821775
hex1b9ef00

28962560 has 144 divisors (see below), whose sum is σ = 80795232. Its totient is φ = 9912320.

The previous prime is 28962553. The next prime is 28962581. The reversal of 28962560 is 6526982.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1703672 + ... + 1703688.

It is an arithmetic number, because the mean of its divisors is an integer number (561078).

Almost surely, 228962560 is an apocalyptic number.

28962560 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 28962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40397616).

28962560 is an abundant number, since it is smaller than the sum of its proper divisors (51832672).

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

28962560 is an equidigital number, since it uses as much as digits as its factorization.

28962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 28962560 is about 5381.6874677001. The cubic root of 28962560 is about 307.0994100640.

The spelling of 28962560 in words is "twenty-eight million, nine hundred sixty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 121 128 136 160 170 176 187 220 242 256 272 320 340 352 374 440 484 544 605 640 680 704 748 880 935 968 1088 1210 1280 1331 1360 1408 1496 1760 1870 1936 2057 2176 2420 2662 2720 2816 2992 3520 3740 3872 4114 4352 4840 5324 5440 5984 6655 7040 7480 7744 8228 9680 10285 10648 10880 11968 13310 14080 14960 15488 16456 19360 20570 21296 21760 22627 23936 26620 29920 30976 32912 38720 41140 42592 45254 47872 53240 59840 65824 77440 82280 85184 90508 106480 113135 119680 131648 154880 164560 170368 181016 212960 226270 239360 263296 329120 340736 362032 425920 452540 526592 658240 724064 851840 905080 1316480 1448128 1703680 1810160 2632960 2896256 3620320 5792512 7240640 14481280 28962560