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28285628100 = 22352831135969
BaseRepresentation
bin11010010101111101…
…000110111011000100
32201000021101210020120
4122111331012323010
5430412110044400
620554431101540
72020641605022
oct322575067304
981007353216
1028285628100
1110aa5555054
1255949718b0
13288a156062
1415248a1712
15b08386ca0
hex695f46ec4

28285628100 has 72 divisors (see below), whose sum is σ = 82825844640. Its totient is φ = 7451950080.

The previous prime is 28285628099. The next prime is 28285628117. The reversal of 28285628100 is 182658282.

It is a super-2 number, since 2×282856281002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543085 + ... + 592884.

Almost surely, 228285628100 is an apocalyptic number.

28285628100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28285628100 is an abundant number, since it is smaller than the sum of its proper divisors (54540216540).

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

28285628100 is a wasteful number, since it uses less digits than its factorization.

28285628100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136069 (or 1136062 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 28285628100 in words is "twenty-eight billion, two hundred eighty-five million, six hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 1135969 2271938 3407907 4543876 5679845 6815814 11359690 13631628 17039535 22719380 28399225 34079070 56798450 68158140 85197675 94285427 113596900 170395350 188570854 282856281 340790700 377141708 471427135 565712562 942854270 1131425124 1414281405 1885708540 2357135675 2828562810 4714271350 5657125620 7071407025 9428542700 14142814050 28285628100