Search a number
-
+
28989900 = 2235521193
BaseRepresentation
bin110111010010…
…1100111001100
32000112211200000
41232211213030
524410134100
62513204300
7501260442
oct156454714
960484600
1028989900
11154005a5
129860690
1360102b4
143bc8b92
152829900
hex1ba59cc

28989900 has 108 divisors (see below), whose sum is σ = 94311672. Its totient is φ = 7724160.

The previous prime is 28989889. The next prime is 28989901. The reversal of 28989900 is 998982.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28989901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23704 + ... + 24896.

Almost surely, 228989900 is an apocalyptic number.

28989900 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 28989900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47155836).

28989900 is an abundant number, since it is smaller than the sum of its proper divisors (65321772).

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

28989900 is a wasteful number, since it uses less digits than its factorization.

28989900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 28989900 is about 5384.2269640126. The cubic root of 28989900 is about 307.1960113007.

The spelling of 28989900 in words is "twenty-eight million, nine hundred eighty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1193 1215 1350 1620 2025 2386 2430 2700 3579 4050 4772 4860 5965 6075 7158 8100 10737 11930 12150 14316 17895 21474 23860 24300 29825 32211 35790 42948 53685 59650 64422 71580 89475 96633 107370 119300 128844 161055 178950 193266 214740 268425 289899 322110 357900 386532 483165 536850 579798 644220 805275 966330 1073700 1159596 1449495 1610550 1932660 2415825 2898990 3221100 4831650 5797980 7247475 9663300 14494950 28989900