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28956240 = 24325131307
BaseRepresentation
bin110111001110…
…1011001010000
32000111010111100
41232131121100
524403044430
62512344400
7501060345
oct156353120
960433440
1028956240
1115388285
129845100
135ccab91
143bba7cc
15281e960
hex1b9d650

28956240 has 120 divisors (see below), whose sum is σ = 98306208. Its totient is φ = 7637760.

The previous prime is 28956229. The next prime is 28956251. The reversal of 28956240 is 4265982.

It is a happy number.

28956240 is a `hidden beast` number, since 28 + 9 + 5 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28956229) and next prime (28956251).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28956195 and 28956204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94167 + ... + 94473.

Almost surely, 228956240 is an apocalyptic number.

28956240 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 28956240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49153104).

28956240 is an abundant number, since it is smaller than the sum of its proper divisors (69349968).

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

28956240 is a wasteful number, since it uses less digits than its factorization.

28956240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

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

The square root of 28956240 is about 5381.1002592407. The cubic root of 28956240 is about 307.0770707696.

The spelling of 28956240 in words is "twenty-eight million, nine hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 307 360 393 524 614 655 720 786 921 1048 1179 1228 1310 1535 1572 1842 1965 2096 2358 2456 2620 2763 3070 3144 3684 3930 4605 4716 4912 5240 5526 5895 6140 6288 7368 7860 9210 9432 10480 11052 11790 12280 13815 14736 15720 18420 18864 22104 23580 24560 27630 31440 36840 40217 44208 47160 55260 73680 80434 94320 110520 120651 160868 201085 221040 241302 321736 361953 402170 482604 603255 643472 723906 804340 965208 1206510 1447812 1608680 1809765 1930416 2413020 2895624 3217360 3619530 4826040 5791248 7239060 9652080 14478120 28956240