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28933309608 = 2337317737187
BaseRepresentation
bin11010111100100011…
…110100010010101000
32202200102010102020120
4122330203310102220
5433223411401413
621143005123240
72042665034220
oct327443642250
982612112216
1028933309608
11112a810a825
125735859520
1329613a7958
1415868db080
15b45172723
hex6bc8f44a8

28933309608 has 128 divisors (see below), whose sum is σ = 85455544320. Its totient is φ = 7988532480.

The previous prime is 28933309597. The next prime is 28933309637. The reversal of 28933309608 is 80690333982.

It is a super-2 number, since 2×289333096082 (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4022191 + ... + 4029377.

It is an arithmetic number, because the mean of its divisors is an integer number (667621440).

Almost surely, 228933309608 is an apocalyptic number.

28933309608 is a gapful number since it is divisible by the number (28) 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 28933309608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42727772160).

28933309608 is an abundant number, since it is smaller than the sum of its proper divisors (56522234712).

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

28933309608 is a wasteful number, since it uses less digits than its factorization.

28933309608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 28933309608 in words is "twenty-eight billion, nine hundred thirty-three million, three hundred nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 773 868 1302 1546 1736 2319 2604 3092 4638 5208 5411 6184 7187 9276 10822 14374 16233 18552 21561 21644 23963 28748 32466 43122 43288 47926 50309 57496 64932 71889 86244 95852 100618 129864 143778 150927 167741 172488 191704 201236 222797 287556 301854 335482 402472 445594 503223 575112 603708 668391 670964 891188 1006446 1207416 1336782 1341928 1559579 1782376 2012892 2673564 3119158 4025784 4678737 5347128 5555551 6238316 9357474 11111102 12476632 16666653 18714948 22222204 33333306 37429896 38888857 44444408 66666612 77777714 116666571 133333224 155555428 172222081 233333142 311110856 344444162 466666284 516666243 688888324 933332568 1033332486 1205554567 1377776648 2066664972 2411109134 3616663701 4133329944 4822218268 7233327402 9644436536 14466654804 28933309608