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28894486140 = 223251329694159
BaseRepresentation
bin11010111010001111…
…101101111001111100
32202120201001222110100
4122322033231321330
5433133442024030
621135101041100
72042014036242
oct327217557174
982521058410
1028894486140
1111288203113
125724856190
1329563337a0
1415816b2792
15b41a54360
hex6ba3ede7c

28894486140 has 144 divisors (see below), whose sum is σ = 94443148800. Its totient is φ = 7108383744.

The previous prime is 28894486111. The next prime is 28894486171. The reversal of 28894486140 is 4168449882.

It is a happy number.

28894486140 is a `hidden beast` number, since 28 + 89 + 448 + 61 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6945381 + ... + 6949539.

It is an arithmetic number, because the mean of its divisors is an integer number (655855200).

Almost surely, 228894486140 is an apocalyptic number.

28894486140 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 28894486140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47221574400).

28894486140 is an abundant number, since it is smaller than the sum of its proper divisors (65548662660).

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

28894486140 is a wasteful number, since it uses less digits than its factorization.

28894486140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 28894486140 in words is "twenty-eight billion, eight hundred ninety-four million, four hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 2969 4159 5938 8318 8907 11876 12477 14845 16636 17814 20795 24954 26721 29690 35628 37431 38597 41590 44535 49908 53442 54067 59380 62385 74862 77194 83180 89070 106884 108134 115791 124770 133605 149724 154388 162201 178140 187155 192985 216268 231582 249540 267210 270335 324402 347373 374310 385970 463164 486603 534420 540670 578955 648804 694746 748620 771940 811005 973206 1081340 1157910 1389492 1622010 1736865 1946412 2315820 2433015 3244020 3473730 4866030 6947460 9732060 12348071 24696142 37044213 49392284 61740355 74088426 111132639 123480710 148176852 160524923 185221065 222265278 246961420 321049846 370442130 444530556 481574769 555663195 642099692 740884260 802624615 963149538 1111326390 1444724307 1605249230 1926299076 2222652780 2407873845 2889448614 3210498460 4815747690 5778897228 7223621535 9631495380 14447243070 28894486140