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28285440 = 293529127
BaseRepresentation
bin110101111100…
…1101000000000
31222020001022220
41223321220000
524220113230
62450131040
7462264561
oct153715000
958201286
1028285440
1114a6a2a7
129580a80
135b24761
143a84168
15273ad10
hex1af9a00

28285440 has 160 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 7225344.

The previous prime is 28285417. The next prime is 28285451. The reversal of 28285440 is 4458282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×282854402 = 1600132231987200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222657 + ... + 222783.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 228285440 is an apocalyptic number.

28285440 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 28285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

28285440 is an abundant number, since it is smaller than the sum of its proper divisors (65994240).

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

28285440 is a wasteful number, since it uses less digits than its factorization.

28285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 28285440 is about 5318.4057761701. The cubic root of 28285440 is about 304.6872723996.

The spelling of 28285440 in words is "twenty-eight million, two hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 127 128 145 160 174 192 232 240 254 256 290 320 348 381 384 435 464 480 508 512 580 635 640 696 762 768 870 928 960 1016 1160 1270 1280 1392 1524 1536 1740 1856 1905 1920 2032 2320 2540 2560 2784 3048 3480 3683 3712 3810 3840 4064 4640 5080 5568 6096 6960 7366 7424 7620 7680 8128 9280 10160 11049 11136 12192 13920 14732 14848 15240 16256 18415 18560 20320 22098 22272 24384 27840 29464 30480 32512 36830 37120 40640 44196 44544 48768 55245 55680 58928 60960 65024 73660 74240 81280 88392 97536 110490 111360 117856 121920 147320 162560 176784 195072 220980 222720 235712 243840 294640 325120 353568 441960 471424 487680 589280 707136 883920 942848 975360 1178560 1414272 1767840 1885696 2357120 2828544 3535680 4714240 5657088 7071360 9428480 14142720 28285440