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28778112 = 273311757
BaseRepresentation
bin110110111000…
…1111010000000
32000011002011000
41231301322000
524331344422
62504452000
7466416126
oct155617200
960132130
1028778112
1115276470
12977a000
135c67a8c
143b71916
1527d6cac
hex1b71e80

28778112 has 128 divisors (see below), whose sum is σ = 92779200. Its totient is φ = 8709120.

The previous prime is 28778111. The next prime is 28778171. The reversal of 28778112 is 21187782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (28778111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37638 + ... + 38394.

Almost surely, 228778112 is an apocalyptic number.

28778112 is a gapful number since it is divisible by the number (22) 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 28778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46389600).

28778112 is an abundant number, since it is smaller than the sum of its proper divisors (64001088).

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

28778112 is a wasteful number, since it uses less digits than its factorization.

28778112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 773 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 28778112 is about 5364.5234643908. The cubic root of 28778112 is about 306.4461005879.

The spelling of 28778112 in words is "twenty-eight million, seven hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 757 792 864 1056 1152 1188 1408 1514 1584 1728 2112 2271 2376 3028 3168 3456 4224 4542 4752 6056 6336 6813 8327 9084 9504 12112 12672 13626 16654 18168 19008 20439 24224 24981 27252 33308 36336 38016 40878 48448 49962 54504 66616 72672 74943 81756 96896 99924 109008 133232 145344 149886 163512 199848 218016 224829 266464 290688 299772 327024 399696 436032 449658 532928 599544 654048 799392 872064 899316 1065856 1199088 1308096 1598784 1798632 2398176 2616192 3197568 3597264 4796352 7194528 9592704 14389056 28778112