Search a number
-
+
28522728 = 23321331983
BaseRepresentation
bin110110011001…
…1100011101000
31222200002211100
41230303203220
524300211403
62455201400
7464303433
oct154634350
958602740
1028522728
1115111603
129676260
135ba8770
143b0681a
1527862a3
hex1b338e8

28522728 has 96 divisors (see below), whose sum is σ = 85962240. Its totient is φ = 8484480.

The previous prime is 28522727. The next prime is 28522733. The reversal of 28522728 is 82722582.

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

It is a junction number, because it is equal to n+sod(n) for n = 28522692 and 28522701.

It is not an unprimeable number, because it can be changed into a prime (28522727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28525 + ... + 29507.

It is an arithmetic number, because the mean of its divisors is an integer number (895440).

Almost surely, 228522728 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 28522728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42981120).

28522728 is an abundant number, since it is smaller than the sum of its proper divisors (57439512).

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

28522728 is a wasteful number, since it uses less digits than its factorization.

28522728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1032 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 28522728 is about 5340.6673740273. The cubic root of 28522728 is about 305.5369132771.

The spelling of 28522728 in words is "twenty-eight million, five hundred twenty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 983 1116 1209 1612 1966 2232 2418 2949 3224 3627 3932 4836 5898 7254 7864 8847 9672 11796 12779 14508 17694 23592 25558 29016 30473 35388 38337 51116 60946 70776 76674 91419 102232 115011 121892 153348 182838 230022 243784 274257 306696 365676 396149 460044 548514 731352 792298 920088 1097028 1188447 1584596 2194056 2376894 3169192 3565341 4753788 7130682 9507576 14261364 28522728