Search a number
-
+
28219664 = 24111091471
BaseRepresentation
bin110101110100…
…1100100010000
31222002201002202
41223221210100
524211012124
62444502332
7461602034
oct153514420
958081082
1028219664
1114a24940
12954a9a8
135b00835
143a681c4
1527265ae
hex1ae9910

28219664 has 40 divisors (see below), whose sum is σ = 60234240. Its totient is φ = 12700800.

The previous prime is 28219661. The next prime is 28219673. The reversal of 28219664 is 46691282.

Together with 32014575 it forms a betrothed pair.

It is not an unprimeable number, because it can be changed into a prime (28219661) 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, 18449 + ... + 19919.

It is an arithmetic number, because the mean of its divisors is an integer number (1505856).

Almost surely, 228219664 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 28219664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30117120).

28219664 is an abundant number, since it is smaller than the sum of its proper divisors (32014576).

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

28219664 is a wasteful number, since it uses less digits than its factorization.

28219664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1593 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 28219664 is about 5312.2183690056. The cubic root of 28219664 is about 304.4509121036.

The spelling of 28219664 in words is "twenty-eight million, two hundred nineteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1471 1744 2398 2942 4796 5884 9592 11768 16181 19184 23536 32362 64724 129448 160339 258896 320678 641356 1282712 1763729 2565424 3527458 7054916 14109832 28219664