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28828980 = 22335197271
BaseRepresentation
bin110110111111…
…0010100110100
32000020122221000
41231332110310
524340011410
62505523300
7500020335
oct155762464
960218830
1028828980
1115300704
1297a3530
135c84c8b
143b8628c
1527e6dc0
hex1b7e534

28828980 has 96 divisors (see below), whose sum is σ = 90478080. Its totient is φ = 7620480.

The previous prime is 28828937. The next prime is 28828997. The reversal of 28828980 is 8982882.

It is a super-2 number, since 2×288289802 = 1662220175680800, which contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106245 + ... + 106515.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 228828980 is an apocalyptic number.

28828980 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 28828980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239040).

28828980 is an abundant number, since it is smaller than the sum of its proper divisors (61649100).

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

28828980 is a wasteful number, since it uses less digits than its factorization.

28828980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 28828980 is about 5369.2625191920. The cubic root of 28828980 is about 306.6265516736.

It can be divided in two parts, 288289 and 80, that added together give a square (288369 = 5372).

The spelling of 28828980 in words is "twenty-eight million, eight hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 271 394 540 542 591 788 813 985 1084 1182 1355 1626 1773 1970 2364 2439 2710 2955 3252 3546 3940 4065 4878 5319 5420 5910 7092 7317 8130 8865 9756 10638 11820 12195 14634 16260 17730 21276 24390 26595 29268 35460 36585 48780 53190 53387 73170 106380 106774 146340 160161 213548 266935 320322 480483 533870 640644 800805 960966 1067740 1441449 1601610 1921932 2402415 2882898 3203220 4804830 5765796 7207245 9609660 14414490 28828980