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28918052072 = 23721353107069
BaseRepresentation
bin11010111011101001…
…100111010011101000
32202122100102020211122
4122323221213103220
5433211010131242
621141302114412
72042421246500
oct327351472350
982570366748
1028918052072
111129a539598
12573071ba08
13295b195020
141584888a00
15b43b5bad2
hex6bba674e8

28918052072 has 96 divisors (see below), whose sum is σ = 69207906600. Its totient is φ = 11224152576.

The previous prime is 28918052029. The next prime is 28918052081. The reversal of 28918052072 is 27025081982.

It can be written as a sum of positive squares in 4 ways, for example, as 27806896516 + 1111155556 = 166754^2 + 33334^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216554 + ... + 323622.

Almost surely, 228918052072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28918052072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34603953300).

28918052072 is an abundant number, since it is smaller than the sum of its proper divisors (40289854528).

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

28918052072 is a wasteful number, since it uses less digits than its factorization.

28918052072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107155 (or 107144 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 28918052072 in words is "twenty-eight billion, nine hundred eighteen million, fifty-two thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 53 56 91 98 104 106 182 196 212 364 371 392 424 637 689 728 742 1274 1378 1484 2548 2597 2756 2968 4823 5096 5194 5512 9646 10388 19292 20776 33761 38584 67522 107069 135044 214138 270088 428276 749483 856552 1391897 1498966 2783794 2997932 5246381 5567588 5674657 5995864 9743279 10492762 11135176 11349314 19486558 20985524 22698628 38973116 39722599 41971048 45397256 68202953 73770541 77946232 79445198 136405906 147541082 158890396 272811812 278058193 295082164 317780792 516393787 545623624 556116386 590164328 1032787574 1112232772 2065575148 2224465544 3614756509 4131150296 7229513018 14459026036 28918052072