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27728694 = 2327312229
BaseRepresentation
bin110100111000…
…1101100110110
31221011202121200
41221301230312
524044304234
62430153330
7454455450
oct151615466
957152550
1027728694
1114719a84
129352846
13598b216
14397b2d0
15267ad99
hex1a71b36

27728694 has 72 divisors (see below), whose sum is σ = 71257680. Its totient is φ = 7633440.

The previous prime is 27728681. The next prime is 27728707. The reversal of 27728694 is 49682772.

It is an interprime number because it is at equal distance from previous prime (27728681) and next prime (27728707).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120972 + ... + 121200.

It is an arithmetic number, because the mean of its divisors is an integer number (989690).

Almost surely, 227728694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27728694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35628840).

27728694 is an abundant number, since it is smaller than the sum of its proper divisors (43528986).

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

27728694 is a wasteful number, since it uses less digits than its factorization.

27728694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 272 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 27728694 is about 5265.8042120838. The cubic root of 27728694 is about 302.6749446806.

The spelling of 27728694 in words is "twenty-seven million, seven hundred twenty-eight thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 229 279 434 458 558 651 687 961 1302 1374 1603 1922 1953 2061 2883 3206 3906 4122 4809 5766 6727 7099 8649 9618 13454 14198 14427 17298 20181 21297 28854 40362 42594 49693 60543 63891 99386 121086 127782 149079 220069 298158 440138 447237 660207 894474 1320414 1540483 1980621 3080966 3961242 4621449 9242898 13864347 27728694