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28829220 = 2235783827
BaseRepresentation
bin110110111111…
…0011000100100
32000020200020220
41231332120210
524340013340
62505524340
7500021130
oct155763044
960220226
1028829220
1115300902
1297a36b0
135c85114
143b863c0
1527e6ed0
hex1b7e624

28829220 has 96 divisors (see below), whose sum is σ = 93477888. Its totient is φ = 6502272.

The previous prime is 28829209. The next prime is 28829231. The reversal of 28829220 is 2292882.

It is an interprime number because it is at equal distance from previous prime (28829209) and next prime (28829231).

It is a super-2 number, since 2×288292202 = 1662247851616800, which contains 22 as substring.

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, 34447 + ... + 35273.

It is an arithmetic number, because the mean of its divisors is an integer number (973728).

Almost surely, 228829220 is an apocalyptic number.

28829220 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 28829220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46738944).

28829220 is an abundant number, since it is smaller than the sum of its proper divisors (64648668).

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

28829220 is a wasteful number, since it uses less digits than its factorization.

28829220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 28829220 is about 5369.2848685835. The cubic root of 28829220 is about 306.6274025555.

The spelling of 28829220 in words is "twenty-eight million, eight hundred twenty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 827 830 996 1162 1245 1654 1660 1743 2324 2481 2490 2905 3308 3486 4135 4962 4980 5789 5810 6972 8270 8715 9924 11578 11620 12405 16540 17367 17430 23156 24810 28945 34734 34860 49620 57890 68641 69468 86835 115780 137282 173670 205923 274564 343205 347340 411846 480487 686410 823692 960974 1029615 1372820 1441461 1921948 2059230 2402435 2882922 4118460 4804870 5765844 7207305 9609740 14414610 28829220