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28382256 = 2432737761
BaseRepresentation
bin110110001000…
…1010000110000
31222101222010200
41230101100300
524231213011
62452155200
7463150050
oct154212060
958358120
1028382256
1115026011
129608b00
135b59846
143aab560
152759856
hex1b11430

28382256 has 120 divisors (see below), whose sum is σ = 93354144. Its totient is φ = 7879680.

The previous prime is 28382227. The next prime is 28382273. The reversal of 28382256 is 65228382.

28382256 is a `hidden beast` number, since 28 + 382 + 256 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28382256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36916 + ... + 37676.

Almost surely, 228382256 is an apocalyptic number.

It is a pronic number, being equal to 5327×5328.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28382256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46677072).

28382256 is an abundant number, since it is smaller than the sum of its proper divisors (64971888).

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

28382256 is a wasteful number, since it uses less digits than its factorization.

28382256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 810 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 28382256 is about 5327.4999765368. The cubic root of 28382256 is about 305.0345065322.

The spelling of 28382256 in words is "twenty-eight million, three hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 761 777 888 1008 1036 1332 1522 1554 1776 2072 2283 2331 2664 3044 3108 4144 4566 4662 5327 5328 6088 6216 6849 9132 9324 10654 12176 12432 13698 15981 18264 18648 21308 27396 28157 31962 36528 37296 42616 47943 54792 56314 63924 84471 85232 95886 109584 112628 127848 168942 191772 197099 225256 253413 255696 337884 383544 394198 450512 506826 591297 675768 767088 788396 1013652 1182594 1351536 1576792 1773891 2027304 2365188 3153584 3547782 4054608 4730376 7095564 9460752 14191128 28382256