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28998180 = 223251961139
BaseRepresentation
bin110111010011…
…1101000100100
32000120021000200
41232213220210
524410420210
62513310500
7501323541
oct156475044
960507020
1028998180
1115406842
129865430
136013cb3
143bcbbc8
15282c0c0
hex1ba7a24

28998180 has 144 divisors (see below), whose sum is σ = 94785600. Its totient is φ = 7153920.

The previous prime is 28998169. The next prime is 28998187. The reversal of 28998180 is 8189982.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (28998187) 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 47 ways as a sum of consecutive naturals, for example, 208551 + ... + 208689.

Almost surely, 228998180 is an apocalyptic number.

28998180 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 28998180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47392800).

28998180 is an abundant number, since it is smaller than the sum of its proper divisors (65787420).

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

28998180 is a wasteful number, since it uses less digits than its factorization.

28998180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 28998180 is about 5384.9958217254. The cubic root of 28998180 is about 307.2252552886.

Adding to 28998180 its sum of digits (45), we get a square (28998225 = 53852).

The spelling of 28998180 in words is "twenty-eight million, nine hundred ninety-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 90 95 114 122 139 171 180 183 190 228 244 278 285 305 342 366 380 417 549 556 570 610 684 695 732 834 855 915 1098 1140 1159 1220 1251 1390 1668 1710 1830 2085 2196 2318 2502 2641 2745 2780 3420 3477 3660 4170 4636 5004 5282 5490 5795 6255 6954 7923 8340 8479 10431 10564 10980 11590 12510 13205 13908 15846 16958 17385 20862 23180 23769 25020 25437 26410 31692 33916 34770 39615 41724 42395 47538 50874 52155 52820 69540 76311 79230 84790 95076 101748 104310 118845 127185 152622 158460 161101 169580 208620 237690 254370 305244 322202 381555 475380 483303 508740 644404 763110 805505 966606 1449909 1526220 1611010 1933212 2416515 2899818 3222020 4833030 5799636 7249545 9666060 14499090 28998180