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28605312 = 27343189
BaseRepresentation
bin110110100011…
…1101110000000
31222211022010000
41231013232000
524310332222
62501040000
7465066261
oct155075600
958738100
1028605312
111516865a
1296b6000
135c07228
143b28968
1527a09ac
hex1b47b80

28605312 has 160 divisors (see below), whose sum is σ = 88862400. Its totient is φ = 9123840.

The previous prime is 28605301. The next prime is 28605349. The reversal of 28605312 is 21350682.

28605312 is a `hidden beast` number, since 28 + 605 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321364 + ... + 321452.

It is an arithmetic number, because the mean of its divisors is an integer number (555390).

Almost surely, 228605312 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 28605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44431200).

28605312 is an abundant number, since it is smaller than the sum of its proper divisors (60257088).

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

28605312 is an equidigital number, since it uses as much as digits as its factorization.

28605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 28605312 is about 5348.3934036307. The cubic root of 28605312 is about 305.8315104730.

Adding to 28605312 its reverse (21350682), we get a palindrome (49955994).

The spelling of 28605312 in words is "twenty-eight million, six hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 89 93 96 108 124 128 144 162 178 186 192 216 248 267 279 288 324 356 372 384 432 496 534 558 576 648 712 744 801 837 864 992 1068 1116 1152 1296 1424 1488 1602 1674 1728 1984 2136 2232 2403 2511 2592 2759 2848 2976 3204 3348 3456 3968 4272 4464 4806 5022 5184 5518 5696 5952 6408 6696 7209 8277 8544 8928 9612 10044 10368 11036 11392 11904 12816 13392 14418 16554 17088 17856 19224 20088 22072 24831 25632 26784 28836 33108 34176 35712 38448 40176 44144 49662 51264 53568 57672 66216 74493 76896 80352 88288 99324 102528 107136 115344 132432 148986 153792 160704 176576 198648 223479 230688 264864 297972 307584 321408 353152 397296 446958 461376 529728 595944 794592 893916 922752 1059456 1191888 1589184 1787832 2383776 3178368 3575664 4767552 7151328 9535104 14302656 28605312