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28950590160 = 2433523515701
BaseRepresentation
bin11010111101100101…
…101111001011010000
32202201121122100201000
4122331211233023100
5433242322341120
621144423342000
72043264645642
oct327545571320
982647570630
1028950590160
1111306942978
12573b5b1900
132964b4832b
141588d18892
15b46937990
hex6bd96f2d0

28950590160 has 160 divisors (see below), whose sum is σ = 99778613760. Its totient is φ = 7715520000.

The previous prime is 28950590159. The next prime is 28950590167. The reversal of 28950590160 is 6109505982.

28950590160 is a `hidden beast` number, since 2 + 8 + 9 + 50 + 590 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×289505901602 (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 (28950590167) 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, 5075310 + ... + 5081010.

It is an arithmetic number, because the mean of its divisors is an integer number (623616336).

Almost surely, 228950590160 is an apocalyptic number.

28950590160 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 28950590160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49889306880).

28950590160 is an abundant number, since it is smaller than the sum of its proper divisors (70828023600).

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

28950590160 is a wasteful number, since it uses less digits than its factorization.

28950590160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8074 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 28950590160 in words is "twenty-eight billion, nine hundred fifty million, five hundred ninety thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2351 4702 5701 7053 9404 11402 11755 14106 17103 18808 21159 22804 23510 28212 28505 34206 35265 37616 42318 45608 47020 51309 56424 57010 63477 68412 70530 84636 85515 91216 94040 102618 105795 112848 114020 126954 136824 141060 153927 169272 171030 188080 205236 211590 228040 253908 256545 273648 282120 307854 317385 338544 342060 410472 423180 456080 507816 513090 564240 615708 634770 684120 769635 820944 846360 1015632 1026180 1231416 1269540 1368240 1539270 1692720 2052360 2462832 2539080 3078540 4104720 5078160 6157080 12314160 13403051 26806102 40209153 53612204 67015255 80418306 107224408 120627459 134030510 160836612 201045765 214448816 241254918 268061020 321673224 361882377 402091530 482509836 536122040 603137295 643346448 723764754 804183060 965019672 1072244080 1206274590 1447529508 1608366120 1809411885 1930039344 2412549180 2895059016 3216732240 3618823770 4825098360 5790118032 7237647540 9650196720 14475295080 28950590160