Search a number
-
+
28988928 = 2935233
BaseRepresentation
bin110111010010…
…1011000000000
32000112210100000
41232211120000
524410121203
62513200000
7501254553
oct156453000
960483300
1028988928
11153aa8a1
129860000
13600ca17
143bc869a
1528294a3
hex1ba5600

28988928 has 120 divisors (see below), whose sum is σ = 87135048. Its totient is φ = 9621504.

The previous prime is 28988903. The next prime is 28988929. The reversal of 28988928 is 82988982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28988929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124300 + ... + 124532.

Almost surely, 228988928 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 28988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43567524).

28988928 is an abundant number, since it is smaller than the sum of its proper divisors (58146120).

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

28988928 is an frugal number, since it uses more digits than its factorization.

28988928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 28988928 is about 5384.1366996019. The cubic root of 28988928 is about 307.1925779457.

Adding to 28988928 its sum of digits (54), we get a palindrome (28988982).

The spelling of 28988928 in words is "twenty-eight million, nine hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 233 243 256 288 324 384 432 466 486 512 576 648 699 768 864 932 972 1152 1296 1398 1536 1728 1864 1944 2097 2304 2592 2796 3456 3728 3888 4194 4608 5184 5592 6291 6912 7456 7776 8388 10368 11184 12582 13824 14912 15552 16776 18873 20736 22368 25164 29824 31104 33552 37746 41472 44736 50328 56619 59648 62208 67104 75492 89472 100656 113238 119296 124416 134208 150984 178944 201312 226476 268416 301968 357888 402624 452952 536832 603936 805248 905904 1073664 1207872 1610496 1811808 2415744 3220992 3623616 4831488 7247232 9662976 14494464 28988928