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28302191640 = 23335193135781
BaseRepresentation
bin11010010110111100…
…010010110000011000
32201001102120022011000
4122112330102300120
5430430330113030
621000222105000
72021232442152
oct322674226030
981042508130
1028302191640
1111003938528
12559a41b160
132890705278
141526b73ad2
15b09a59860
hex696f12c18

28302191640 has 128 divisors (see below), whose sum is σ = 94830148800. Its totient is φ = 7508090880.

The previous prime is 28302191609. The next prime is 28302191641. The reversal of 28302191640 is 4619120382.

28302191640 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 2 + 1 + 9 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28302191595 and 28302191604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28302191641) 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, 140550 + ... + 276330.

Almost surely, 228302191640 is an apocalyptic number.

28302191640 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 28302191640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47415074400).

28302191640 is an abundant number, since it is smaller than the sum of its proper divisors (66527957160).

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

28302191640 is a wasteful number, since it uses less digits than its factorization.

28302191640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135994 (or 135984 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 28302191640 in words is "twenty-eight billion, three hundred two million, one hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 193 216 270 360 386 540 579 772 965 1080 1158 1544 1737 1930 2316 2895 3474 3860 4632 5211 5790 6948 7720 8685 10422 11580 13896 17370 20844 23160 26055 34740 41688 52110 69480 104220 135781 208440 271562 407343 543124 678905 814686 1086248 1222029 1357810 1629372 2036715 2444058 2715620 3258744 3666087 4073430 4888116 5431240 6110145 7332174 8146860 9776232 12220290 14664348 16293720 18330435 24440580 26205733 29328696 36660870 48881160 52411466 73321740 78617199 104822932 131028665 146643480 157234398 209645864 235851597 262057330 314468796 393085995 471703194 524114660 628937592 707554791 786171990 943406388 1048229320 1179257985 1415109582 1572343980 1886812776 2358515970 2830219164 3144687960 3537773955 4717031940 5660438328 7075547910 9434063880 14151095820 28302191640