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28956780 = 22325179463
BaseRepresentation
bin110111001110…
…1100001101100
32000111011020100
41232131201230
524403104110
62512351100
7501062046
oct156354154
960434210
1028956780
1115388726
129845490
135ccb1b8
143bbaa96
15281ebc0
hex1b9d86c

28956780 has 72 divisors (see below), whose sum is σ = 93012192. Its totient is φ = 7266816.

The previous prime is 28956757. The next prime is 28956827. The reversal of 28956780 is 8765982.

28956780 is a `hidden beast` number, since 2 + 8 + 9 + 567 + 80 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672 + ... + 7791.

It is an arithmetic number, because the mean of its divisors is an integer number (1291836).

Almost surely, 228956780 is an apocalyptic number.

28956780 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 28956780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46506096).

28956780 is an abundant number, since it is smaller than the sum of its proper divisors (64055412).

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

28956780 is a wasteful number, since it uses less digits than its factorization.

28956780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9495 (or 9490 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 28956780 is about 5381.1504346190. The cubic root of 28956780 is about 307.0789796338.

The spelling of 28956780 in words is "twenty-eight million, nine hundred fifty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 9463 18926 28389 37852 47315 56778 85167 94630 113556 141945 160871 170334 189260 283890 321742 340668 425835 482613 567780 643484 804355 851670 965226 1447839 1608710 1703340 1930452 2413065 2895678 3217420 4826130 5791356 7239195 9652260 14478390 28956780