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28316160 = 293251229
BaseRepresentation
bin110110000000…
…1001000000000
31222021121110200
41230001020000
524222104120
62450525200
7462453255
oct154011000
958247420
1028316160
1114a90394
129596800
135b35732
143a9142c
152744e90
hex1b01200

28316160 has 120 divisors (see below), whose sum is σ = 98146620. Its totient is φ = 7544832.

The previous prime is 28316111. The next prime is 28316161. The reversal of 28316160 is 6161382.

It can be written as a sum of positive squares in 2 ways, for example, as 26378496 + 1937664 = 5136^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (28316161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22426 + ... + 23654.

Almost surely, 228316160 is an apocalyptic number.

28316160 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 28316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49073310).

28316160 is an abundant number, since it is smaller than the sum of its proper divisors (69830460).

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

28316160 is a wasteful number, since it uses less digits than its factorization.

28316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28316160 is about 5321.2930759356. The cubic root of 28316160 is about 304.7975365085.

The spelling of 28316160 in words is "twenty-eight million, three hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1229 1280 1440 1536 1920 2304 2458 2560 2880 3687 3840 4608 4916 5760 6145 7374 7680 9832 11061 11520 12290 14748 18435 19664 22122 23040 24580 29496 36870 39328 44244 49160 55305 58992 73740 78656 88488 98320 110610 117984 147480 157312 176976 196640 221220 235968 294960 314624 353952 393280 442440 471936 589920 629248 707904 786560 884880 943872 1179840 1415808 1573120 1769760 1887744 2359680 2831616 3146240 3539520 4719360 5663232 7079040 9438720 14158080 28316160