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28297360 = 245713323
BaseRepresentation
bin110101111110…
…0100010010000
31222020122200101
41223330202100
524221003420
62450302144
7462344410
oct153744220
958218611
1028297360
1114a78253
129587954
135b2a000
143a88640
15273e60a
hex1afc890

28297360 has 160 divisors (see below), whose sum is σ = 84994560. Its totient is φ = 8566272.

The previous prime is 28297349. The next prime is 28297363. The reversal of 28297360 is 6379282.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28297363) 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, 1230309 + ... + 1230331.

It is an arithmetic number, because the mean of its divisors is an integer number (531216).

Almost surely, 228297360 is an apocalyptic number.

28297360 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 28297360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280).

28297360 is an abundant number, since it is smaller than the sum of its proper divisors (56697200).

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

28297360 is a wasteful number, since it uses less digits than its factorization.

28297360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 28297360 is about 5319.5262946996. The cubic root of 28297360 is about 304.7300666455.

The spelling of 28297360 in words is "twenty-eight million, two hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 23 26 28 35 40 46 52 56 65 70 80 91 92 104 112 115 130 140 161 169 182 184 208 230 260 280 299 322 338 364 368 455 460 520 560 598 644 676 728 805 845 910 920 1040 1183 1196 1288 1352 1456 1495 1610 1690 1820 1840 2093 2197 2366 2392 2576 2704 2990 3220 3380 3640 3887 4186 4394 4732 4784 5915 5980 6440 6760 7280 7774 8372 8788 9464 10465 10985 11830 11960 12880 13520 15379 15548 16744 17576 18928 19435 20930 21970 23660 23920 27209 30758 31096 33488 35152 38870 41860 43940 47320 50531 54418 61516 62192 76895 77740 83720 87880 94640 101062 108836 123032 136045 153790 155480 167440 175760 202124 217672 246064 252655 272090 307580 310960 353717 404248 435344 505310 544180 615160 707434 808496 1010620 1088360 1230320 1414868 1768585 2021240 2176720 2829736 3537170 4042480 5659472 7074340 14148680 28297360