Search a number
-
+
28793649000 = 2335312377759
BaseRepresentation
bin11010110100001111…
…000011011101101000
32202022200022220220110
4122310033003131220
5432432133232000
621121055454320
72036350656354
oct326417033550
982280286813
1028793649000
111123629a736
1256b6b273a0
13293b488c3c
141572144464
15b37c86850
hex6b43c3768

28793649000 has 128 divisors (see below), whose sum is σ = 89920396800. Its totient is φ = 7671110400.

The previous prime is 28793648993. The next prime is 28793649007. The reversal of 28793649000 is 94639782.

It is an interprime number because it is at equal distance from previous prime (28793648993) and next prime (28793649007).

It is not an unprimeable number, because it can be changed into a prime (28793649007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3707121 + ... + 3714879.

It is an arithmetic number, because the mean of its divisors is an integer number (702503100).

Almost surely, 228793649000 is an apocalyptic number.

28793649000 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 28793649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44960198400).

28793649000 is an abundant number, since it is smaller than the sum of its proper divisors (61126747800).

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

28793649000 is a wasteful number, since it uses less digits than its factorization.

28793649000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9020 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 28793649000 in words is "twenty-eight billion, seven hundred ninety-three million, six hundred forty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1237 1500 2474 3000 3711 4948 6185 7422 7759 9896 12370 14844 15518 18555 23277 24740 29688 30925 31036 37110 38795 46554 49480 61850 62072 74220 77590 92775 93108 116385 123700 148440 154625 155180 185550 186216 193975 232770 247400 309250 310360 371100 387950 463875 465540 581925 618500 742200 775900 927750 931080 969875 1163850 1237000 1551800 1855500 1939750 2327700 2909625 3711000 3879500 4655400 5819250 7759000 9597883 11638500 19195766 23277000 28793649 38391532 47989415 57587298 76783064 95978830 115174596 143968245 191957660 230349192 239947075 287936490 383915320 479894150 575872980 719841225 959788300 1151745960 1199735375 1439682450 1919576600 2399470750 2879364900 3599206125 4798941500 5758729800 7198412250 9597883000 14396824500 28793649000