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28253514960 = 24335111189121
BaseRepresentation
bin11010010100000010…
…100110110011010000
32200221000222021022000
4122110002212303100
5430330344434320
620551322514000
72020101625506
oct322402466320
980830867260
1028253514960
1110a89410a70
125586065900
1328835c12b8
141520502676
15b05641c90
hex6940a6cd0

28253514960 has 160 divisors (see below), whose sum is σ = 106164812160. Its totient is φ = 6849331200.

The previous prime is 28253514943. The next prime is 28253514967. The reversal of 28253514960 is 6941535282.

28253514960 is a `hidden beast` number, since 2 + 82 + 53 + 514 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×282535149602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28253514967) 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, 570801 + ... + 618320.

It is an arithmetic number, because the mean of its divisors is an integer number (663530076).

Almost surely, 228253514960 is an apocalyptic number.

28253514960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28253514960 is an abundant number, since it is smaller than the sum of its proper divisors (77911297200).

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

28253514960 is a wasteful number, since it uses less digits than its factorization.

28253514960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189154 (or 1189142 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 28253514960 in words is "twenty-eight billion, two hundred fifty-three million, five hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 1189121 2378242 3567363 4756484 5945605 7134726 9512968 10702089 11891210 13080331 14269452 17836815 19025936 21404178 23782420 26160662 28538904 32106267 35673630 39240993 42808356 47564840 52321324 53510445 57077808 64212534 65401655 71347260 78481986 85616712 95129680 104642648 107020890 117722979 128425068 130803310 142694520 156963972 160531335 171233424 196204965 209285296 214041780 235445958 256850136 261606620 285389040 313927944 321062670 353168937 392409930 428083560 470891916 513700272 523213240 588614895 627855888 642125340 706337874 784819860 856167120 941783832 1046426480 1177229790 1284250680 1412675748 1569639720 1765844685 1883567664 2354459580 2568501360 2825351496 3139279440 3531689370 4708919160 5650702992 7063378740 9417838320 14126757480 28253514960