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28860768 = 2532234357
BaseRepresentation
bin110111000011…
…0000101100000
32000022021112100
41232012011200
524342021033
62510330400
7500212116
oct156060540
960267470
1028860768
1115322582
1297b9a00
135c965a1
143b93ab6
152801513
hex1b86160

28860768 has 72 divisors (see below), whose sum is σ = 85660848. Its totient is φ = 9199872.

The previous prime is 28860757. The next prime is 28860787. The reversal of 28860768 is 86706882.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4446 + ... + 8802.

It is an arithmetic number, because the mean of its divisors is an integer number (1189734).

Almost surely, 228860768 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 28860768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42830424).

28860768 is an abundant number, since it is smaller than the sum of its proper divisors (56800080).

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

28860768 is a wasteful number, since it uses less digits than its factorization.

28860768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 28860768 is about 5372.2218867057. The cubic root of 28860768 is about 306.7392098914.

The spelling of 28860768 in words is "twenty-eight million, eight hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 4357 6624 8714 13071 17428 26142 34856 39213 52284 69712 78426 100211 104568 139424 156852 200422 209136 300633 313704 400844 418272 601266 627408 801688 901899 1202532 1254816 1603376 1803798 2405064 3206752 3607596 4810128 7215192 9620256 14430384 28860768