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28146664 = 2371323412
BaseRepresentation
bin110101101011…
…1101111101000
31221221222222001
41223113233220
524201143124
62443140344
7461146150
oct153275750
957858861
1028146664
1114985007
1295146b4
135aa6540
143a49760
15270eb44
hex1ad7be8

28146664 has 96 divisors (see below), whose sum is σ = 69471360. Its totient is φ = 10391040.

The previous prime is 28146661. The next prime is 28146689. The reversal of 28146664 is 46664182.

It is not an unprimeable number, because it can be changed into a prime (28146661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686484 + ... + 686524.

It is an arithmetic number, because the mean of its divisors is an integer number (723660).

Almost surely, 228146664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34735680).

28146664 is an abundant number, since it is smaller than the sum of its proper divisors (41324696).

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

28146664 is a wasteful number, since it uses less digits than its factorization.

28146664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 86 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 28146664 is about 5305.3429672360. The cubic root of 28146664 is about 304.1881625975.

It can be divided in two parts, 2 and 8146664, that added together give a triangular number (8146666 = T4036).

The spelling of 28146664 in words is "twenty-eight million, one hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 41 46 52 56 82 91 92 104 161 164 182 184 287 299 322 328 364 533 574 598 644 728 943 1066 1148 1196 1288 1681 1886 2093 2132 2296 2392 3362 3731 3772 4186 4264 6601 6724 7462 7544 8372 11767 12259 13202 13448 14924 16744 21853 23534 24518 26404 29848 38663 43706 47068 49036 52808 77326 85813 87412 94136 98072 152971 154652 171626 174824 270641 305942 309304 343252 502619 541282 611884 686504 1005238 1082564 1223768 2010476 2165128 3518333 4020952 7036666 14073332 28146664