Search a number
-
+
28940832 = 25323172
BaseRepresentation
bin110111001100…
…1101000100000
32000110100100200
41232121220200
524402101312
62512145200
7500664414
oct156315040
960410320
1028940832
1115377748
129838200
135cc3b6b
143bb4d44
15281a0dc
hex1b99a20

28940832 has 54 divisors (see below), whose sum is σ = 82560933. Its totient is φ = 9616512.

The previous prime is 28940797. The next prime is 28940881. The reversal of 28940832 is 23804982.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 21123216 + 7817616 = 4596^2 + 2796^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 91138 + ... + 91454.

Almost surely, 228940832 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 28940832

28940832 is an abundant number, since it is smaller than the sum of its proper divisors (53620101).

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

28940832 is an equidigital number, since it uses as much as digits as its factorization.

28940832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 28940832 is about 5379.6683912673. The cubic root of 28940832 is about 307.0225945096.

The spelling of 28940832 in words is "twenty-eight million, nine hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 317 634 951 1268 1902 2536 2853 3804 5072 5706 7608 10144 11412 15216 22824 30432 45648 91296 100489 200978 301467 401956 602934 803912 904401 1205868 1607824 1808802 2411736 3215648 3617604 4823472 7235208 9646944 14470416 28940832