Search a number
-
+
28923000 = 2335331311
BaseRepresentation
bin110111001010…
…1010001111000
32000102102220020
41232111101320
524401014000
62511530440
7500561421
oct156252170
960372806
1028923000
1115365307
129829a20
135cb8a02
143bac648
152814ba0
hex1b95478

28923000 has 128 divisors (see below), whose sum is σ = 93450240. Its totient is φ = 7440000.

The previous prime is 28922987. The next prime is 28923019. The reversal of 28923000 is 32982.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 92845 + ... + 93155.

It is an arithmetic number, because the mean of its divisors is an integer number (730080).

Almost surely, 228923000 is an apocalyptic number.

28923000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46725120).

28923000 is an abundant number, since it is smaller than the sum of its proper divisors (64527240).

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

28923000 is a wasteful number, since it uses less digits than its factorization.

28923000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 28923000 is about 5378.0107846675. The cubic root of 28923000 is about 306.9595238541.

Adding to 28923000 its reverse (32982), we get a palindrome (28955982).

The spelling of 28923000 in words is "twenty-eight million, nine hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 311 372 375 465 500 600 620 622 744 750 775 930 933 1000 1240 1244 1500 1550 1555 1860 1866 2325 2488 3000 3100 3110 3720 3732 3875 4650 4665 6200 6220 7464 7750 7775 9300 9330 9641 11625 12440 15500 15550 18600 18660 19282 23250 23325 28923 31000 31100 37320 38564 38875 46500 46650 48205 57846 62200 77128 77750 93000 93300 96410 115692 116625 144615 155500 186600 192820 231384 233250 241025 289230 311000 385640 466500 482050 578460 723075 933000 964100 1156920 1205125 1446150 1928200 2410250 2892300 3615375 4820500 5784600 7230750 9641000 14461500 28923000