Search a number
-
+
28291760 = 2457192659
BaseRepresentation
bin110101111101…
…1001010110000
31222020100222222
41223323022300
524220314020
62450220212
7462322160
oct153731260
958210888
1028291760
1114a74022
129584668
135b275b3
143a865a0
15273cb25
hex1afb2b0

28291760 has 80 divisors (see below), whose sum is σ = 79161600. Its totient is φ = 9186048.

The previous prime is 28291759. The next prime is 28291777. The reversal of 28291760 is 6719282.

It is a happy number.

It is a Cunningham number, because it is equal to 53192-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 28291760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9311 + ... + 11969.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 228291760 is an apocalyptic number.

28291760 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 28291760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39580800).

28291760 is an abundant number, since it is smaller than the sum of its proper divisors (50869840).

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

28291760 is a wasteful number, since it uses less digits than its factorization.

28291760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 28291760 is about 5318.9999059974. Note that the first 4 decimals coincide. The cubic root of 28291760 is about 304.7099634633.

The spelling of 28291760 in words is "twenty-eight million, two hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2659 2660 5318 5320 10636 10640 13295 18613 21272 26590 37226 42544 50521 53180 74452 93065 101042 106360 148904 186130 202084 212720 252605 297808 353647 372260 404168 505210 707294 744520 808336 1010420 1414588 1489040 1768235 2020840 2829176 3536470 4041680 5658352 7072940 14145880 28291760