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28900490320 = 2451328198893
BaseRepresentation
bin11010111010100110…
…100111110001010000
32202121010101000122101
4122322212213301100
5433142011142240
621135433450144
72042116054162
oct327246476120
982533330571
1028900490320
1111290634149
125726870954
132957656660
1415823d6932
15b4233d39a
hex6ba9a7c50

28900490320 has 80 divisors (see below), whose sum is σ = 72620633232. Its totient is φ = 10632867840.

The previous prime is 28900490293. The next prime is 28900490351. The reversal of 28900490320 is 2309400982.

It can be written as a sum of positive squares in 8 ways, for example, as 2058255424 + 26842234896 = 45368^2 + 163836^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 28900490320.

It is a congruent number.

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, 242794 + ... + 341686.

Almost surely, 228900490320 is an apocalyptic number.

28900490320 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 28900490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36310316616).

28900490320 is an abundant number, since it is smaller than the sum of its proper divisors (43720142912).

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

28900490320 is a wasteful number, since it uses less digits than its factorization.

28900490320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99200 (or 99194 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 28900490320 in words is "twenty-eight billion, nine hundred million, four hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 281 520 562 1040 1124 1405 2248 2810 3653 4496 5620 7306 11240 14612 18265 22480 29224 36530 58448 73060 98893 146120 197786 292240 395572 494465 791144 988930 1285609 1582288 1977860 2571218 3955720 5142436 6428045 7911440 10284872 12856090 20569744 25712180 27788933 51424360 55577866 102848720 111155732 138944665 222311464 277889330 361256129 444622928 555778660 722512258 1111557320 1445024516 1806280645 2223114640 2890049032 3612561290 5780098064 7225122580 14450245160 28900490320