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28697340 = 22357243227
BaseRepresentation
bin110110101111…
…0001011111100
31222222222100110
41231132023330
524321303330
62503030020
7465631500
oct155361374
958888313
1028697340
1115220811
12973b310
135c3a099
143b50300
1527bcdb0
hex1b5e2fc

28697340 has 144 divisors (see below), whose sum is σ = 96066432. Its totient is φ = 6378624.

The previous prime is 28697321. The next prime is 28697341. The reversal of 28697340 is 4379682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28697341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126307 + ... + 126533.

It is an arithmetic number, because the mean of its divisors is an integer number (667128).

Almost surely, 228697340 is an apocalyptic number.

28697340 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 28697340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48033216).

28697340 is an abundant number, since it is smaller than the sum of its proper divisors (67369092).

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

28697340 is a wasteful number, since it uses less digits than its factorization.

28697340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 28697340 is about 5356.9898263857. The cubic root of 28697340 is about 306.1591295022.

The spelling of 28697340 in words is "twenty-eight million, six hundred ninety-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 210 215 227 245 258 294 301 420 430 454 490 516 588 602 645 681 735 860 903 908 980 1135 1204 1290 1362 1470 1505 1589 1806 2107 2270 2580 2724 2940 3010 3178 3405 3612 4214 4515 4540 4767 6020 6321 6356 6810 7945 8428 9030 9534 9761 10535 11123 12642 13620 15890 18060 19068 19522 21070 22246 23835 25284 29283 31605 31780 33369 39044 42140 44492 47670 48805 55615 58566 63210 66738 68327 95340 97610 111230 117132 126420 133476 136654 146415 166845 195220 204981 222460 273308 292830 333690 341635 409962 478289 585660 667380 683270 819924 956578 1024905 1366540 1434867 1913156 2049810 2391445 2869734 4099620 4782890 5739468 7174335 9565780 14348670 28697340