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28642950 = 2335272433
BaseRepresentation
bin110110101000…
…0111010000110
31222220012202000
41231100322012
524313033300
62501530130
7465314100
oct155207206
958805660
1028642950
1115193966
129713946
135c1b3bb
143b38570
1527abc00
hex1b50e86

28642950 has 144 divisors (see below), whose sum is σ = 92025360. Its totient is φ = 6531840.

The previous prime is 28642931. The next prime is 28642963. The reversal of 28642950 is 5924682.

It is a happy number.

28642950 is a `hidden beast` number, since 2 + 8 + 642 + 9 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65934 + ... + 66366.

It is an arithmetic number, because the mean of its divisors is an integer number (639065).

Almost surely, 228642950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28642950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46012680).

28642950 is an abundant number, since it is smaller than the sum of its proper divisors (63382410).

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

28642950 is a wasteful number, since it uses less digits than its factorization.

28642950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28642950 is about 5351.9108736974. The cubic root of 28642950 is about 305.9655862875.

It can be divided in two parts, 28642 and 950, that added together give a palindrome (29592).

The spelling of 28642950 in words is "twenty-eight million, six hundred forty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 90 98 105 126 135 147 150 175 189 210 225 245 270 294 315 350 378 433 441 450 490 525 630 675 735 866 882 945 1050 1225 1299 1323 1350 1470 1575 1890 2165 2205 2450 2598 2646 3031 3150 3675 3897 4330 4410 4725 6062 6495 6615 7350 7794 9093 9450 10825 11025 11691 12990 13230 15155 18186 19485 21217 21650 22050 23382 27279 30310 32475 33075 38970 42434 45465 54558 58455 63651 64950 66150 75775 81837 90930 97425 106085 116910 127302 136395 151550 163674 190953 194850 212170 227325 272790 292275 318255 381906 409185 454650 530425 572859 584550 636510 681975 818370 954765 1060850 1145718 1363950 1591275 1909530 2045925 2864295 3182550 4091850 4773825 5728590 9547650 14321475 28642950