Search a number
-
+
28925160 = 233511171289
BaseRepresentation
bin110111001010…
…1110011101000
32000102112212020
41232111303220
524401101120
62511544440
7500600625
oct156256350
960375766
1028925160
11153669a0
12982b120
135cb99a4
143bad34c
152815640
hex1b95ce8

28925160 has 128 divisors (see below), whose sum is σ = 100310400. Its totient is φ = 6594560.

The previous prime is 28925159. The next prime is 28925167. The reversal of 28925160 is 6152982.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (28925167) 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, 21796 + ... + 23084.

It is an arithmetic number, because the mean of its divisors is an integer number (783675).

Almost surely, 228925160 is an apocalyptic number.

28925160 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 28925160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50155200).

28925160 is an abundant number, since it is smaller than the sum of its proper divisors (71385240).

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

28925160 is a wasteful number, since it uses less digits than its factorization.

28925160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 28925160 is about 5378.2115986636. The cubic root of 28925160 is about 306.9671650170.

The spelling of 28925160 in words is "twenty-eight million, nine hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1289 1320 1496 1870 2040 2244 2578 2805 3740 3867 4488 5156 5610 6445 7480 7734 10312 11220 12890 14179 15468 19335 21913 22440 25780 28358 30936 38670 42537 43826 51560 56716 65739 70895 77340 85074 87652 109565 113432 131478 141790 154680 170148 175304 212685 219130 241043 262956 283580 328695 340296 425370 438260 482086 525912 567160 657390 723129 850740 876520 964172 1205215 1314780 1446258 1701480 1928344 2410430 2629560 2892516 3615645 4820860 5785032 7231290 9641720 14462580 28925160