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28029312 = 273229839
BaseRepresentation
bin110101011101…
…1000110000000
31221202000222200
41222323012000
524133414222
62440433200
7460150053
oct152730600
957660880
1028029312
1114904923
129478800
135a64cbc
143a18a9a
1526d9eac
hex1abb180

28029312 has 96 divisors (see below), whose sum is σ = 83538000. Its totient is φ = 9010176.

The previous prime is 28029289. The next prime is 28029347. The reversal of 28029312 is 21392082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32989 + ... + 33827.

Almost surely, 228029312 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 28029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41769000).

28029312 is an abundant number, since it is smaller than the sum of its proper divisors (55508688).

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

28029312 is a wasteful number, since it uses less digits than its factorization.

28029312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28029312 is about 5294.2716212903. The cubic root of 28029312 is about 303.7648227284.

It can be divided in two parts, 280 and 29312, that added together give a palindrome (29592).

The spelling of 28029312 in words is "twenty-eight million, twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 839 928 1044 1152 1392 1678 1856 2088 2517 2784 3356 3712 4176 5034 5568 6712 7551 8352 10068 11136 13424 15102 16704 20136 24331 26848 30204 33408 40272 48662 53696 60408 72993 80544 97324 107392 120816 145986 161088 194648 218979 241632 291972 322176 389296 437958 483264 583944 778592 875916 966528 1167888 1557184 1751832 2335776 3114368 3503664 4671552 7007328 9343104 14014656 28029312