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28360768 = 261983281
BaseRepresentation
bin110110000110…
…0000001000000
31222100212122211
41230030001000
524230021033
62451511504
7463030312
oct154140100
958325584
1028360768
1115010957
1295b8594
135b4cb27
143aa37b2
1527532cd
hex1b0c040

28360768 has 56 divisors (see below), whose sum is σ = 60167520. Its totient is φ = 13224960.

The previous prime is 28360757. The next prime is 28360789. The reversal of 28360768 is 86706382.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28360768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100788 + ... + 101068.

It is an arithmetic number, because the mean of its divisors is an integer number (1074420).

Almost surely, 228360768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30083760).

28360768 is an abundant number, since it is smaller than the sum of its proper divisors (31806752).

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

28360768 is a wasteful number, since it uses less digits than its factorization.

28360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 28360768 is about 5325.4828889031. The cubic root of 28360768 is about 304.9575072935.

The spelling of 28360768 in words is "twenty-eight million, three hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 152 166 281 304 332 562 608 664 1124 1216 1328 1577 2248 2656 3154 4496 5312 5339 6308 8992 10678 12616 17984 21356 23323 25232 42712 46646 50464 85424 93292 100928 170848 186584 341696 373168 443137 746336 886274 1492672 1772548 3545096 7090192 14180384 28360768