Search a number
-
+
28665792 = 263353313
BaseRepresentation
bin110110101011…
…0011111000000
31222221101002000
41231112133000
524314301132
62502224000
7465440511
oct155263700
958841060
1028665792
11151aa041
129725000
135c2890c
143b42a08
1527b387c
hex1b567c0

28665792 has 112 divisors (see below), whose sum is σ = 86136480. Its totient is φ = 9345024.

The previous prime is 28665781. The next prime is 28665809. The reversal of 28665792 is 29756682.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91428 + ... + 91740.

Almost surely, 228665792 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 28665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43068240).

28665792 is an abundant number, since it is smaller than the sum of its proper divisors (57470688).

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

28665792 is a wasteful number, since it uses less digits than its factorization.

28665792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 28665792 is about 5354.0444525611. The cubic root of 28665792 is about 306.0468978485.

The spelling of 28665792 in words is "twenty-eight million, six hundred sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 288 313 318 424 432 477 576 626 636 848 864 939 954 1252 1272 1431 1696 1728 1878 1908 2504 2544 2817 2862 3392 3756 3816 5008 5088 5634 5724 7512 7632 8451 10016 10176 11268 11448 15024 15264 16589 16902 20032 22536 22896 30048 30528 33178 33804 45072 45792 49767 60096 66356 67608 90144 91584 99534 132712 135216 149301 180288 199068 265424 270432 298602 398136 447903 530848 540864 597204 796272 895806 1061696 1194408 1592544 1791612 2388816 3185088 3583224 4777632 7166448 9555264 14332896 28665792