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27828330 = 2357397131
BaseRepresentation
bin110101000101…
…0000001101010
31221100211021220
41222022001222
524111001310
62432242510
7455352105
oct152120152
957324256
1027828330
1114787922
1293a0436
1359c468a
1439a573c
15269a670
hex1a8a06a

27828330 has 64 divisors (see below), whose sum is σ = 68923008. Its totient is φ = 7188480.

The previous prime is 27828301. The next prime is 27828341. The reversal of 27828330 is 3382872.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27828291 and 27828300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212365 + ... + 212495.

It is an arithmetic number, because the mean of its divisors is an integer number (1076922).

Almost surely, 227828330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27828330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34461504).

27828330 is an abundant number, since it is smaller than the sum of its proper divisors (41094678).

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

27828330 is a wasteful number, since it uses less digits than its factorization.

27828330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 27828330 is about 5275.2563918733. The cubic root of 27828330 is about 303.0370397704.

The spelling of 27828330 in words is "twenty-seven million, eight hundred twenty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 97 131 146 194 219 262 291 365 393 438 485 582 655 730 786 970 1095 1310 1455 1965 2190 2910 3930 7081 9563 12707 14162 19126 21243 25414 28689 35405 38121 42486 47815 57378 63535 70810 76242 95630 106215 127070 143445 190605 212430 286890 381210 927611 1855222 2782833 4638055 5565666 9276110 13914165 27828330