Search a number
-
+
28762384 = 247713617
BaseRepresentation
bin110110110111…
…0000100010000
32000010021120111
41231232010100
524330344014
62504251104
7466322230
oct155560420
960107514
1028762384
1115265672
129770a94
135c60881
143b69cc0
1527d22c4
hex1b6e110

28762384 has 40 divisors (see below), whose sum is σ = 64603008. Its totient is φ = 12149760.

The previous prime is 28762379. The next prime is 28762387. The reversal of 28762384 is 48326782.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28762387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6144 + ... + 9760.

Almost surely, 228762384 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 28762384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32301504).

28762384 is an abundant number, since it is smaller than the sum of its proper divisors (35840624).

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

28762384 is a wasteful number, since it uses less digits than its factorization.

28762384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3697 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 28762384 is about 5363.0573370047. The cubic root of 28762384 is about 306.3902634459.

The spelling of 28762384 in words is "twenty-eight million, seven hundred sixty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3617 3976 7234 7952 14468 25319 28936 50638 57872 101276 202552 256807 405104 513614 1027228 1797649 2054456 3595298 4108912 7190596 14381192 28762384