Search a number
-
+
28190592 = 27342719
BaseRepresentation
bin110101110001…
…0011110000000
31222001020020000
41223202132000
524204044332
62444120000
7461421213
oct153423600
958036200
1028190592
1114a05011
129536000
135ac0531
143a5b77a
15271cb7c
hex1ae2780

28190592 has 80 divisors (see below), whose sum is σ = 83925600. Its totient is φ = 9393408.

The previous prime is 28190579. The next prime is 28190593. The reversal of 28190592 is 29509182.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28190593) 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 9 ways as a sum of consecutive naturals, for example, 9009 + ... + 11727.

It is an arithmetic number, because the mean of its divisors is an integer number (1049070).

Almost surely, 228190592 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 28190592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41962800).

28190592 is an abundant number, since it is smaller than the sum of its proper divisors (55735008).

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

28190592 is an equidigital number, since it uses as much as digits as its factorization.

28190592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 28190592 is about 5309.4813306009. The cubic root of 28190592 is about 304.3463273703.

It can be divided in two parts, 28190 and 592, that added together give a palindrome (28782).

The spelling of 28190592 in words is "twenty-eight million, one hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 2719 3456 5184 5438 8157 10368 10876 16314 21752 24471 32628 43504 48942 65256 73413 87008 97884 130512 146826 174016 195768 220239 261024 293652 348032 391536 440478 522048 587304 783072 880956 1044096 1174608 1566144 1761912 2349216 3132288 3523824 4698432 7047648 9396864 14095296 28190592