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28729728 = 273417163
BaseRepresentation
bin110110110011…
…0000110000000
32000001121210000
41231212012000
524323322403
62503440000
7466125066
oct155460600
960047700
1028729728
1115243085
129756000
135c4ba51
143b5c036
1527c77a3
hex1b66180

28729728 has 160 divisors (see below), whose sum is σ = 91083960. Its totient is φ = 8957952.

The previous prime is 28729717. The next prime is 28729769. The reversal of 28729728 is 82792782.

It is a happy number.

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, 176175 + ... + 176337.

Almost surely, 228729728 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 28729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45541980).

28729728 is an abundant number, since it is smaller than the sum of its proper divisors (62354232).

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

28729728 is a wasteful number, since it uses less digits than its factorization.

28729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 28729728 is about 5360.0119402852. The cubic root of 28729728 is about 306.2742639112.

The spelling of 28729728 in words is "twenty-eight million, seven hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 163 192 204 216 272 288 306 324 326 384 408 432 459 489 544 576 612 648 652 816 864 918 978 1088 1152 1224 1296 1304 1377 1467 1632 1728 1836 1956 2176 2448 2592 2608 2754 2771 2934 3264 3456 3672 3912 4401 4896 5184 5216 5508 5542 5868 6528 7344 7824 8313 8802 9792 10368 10432 11016 11084 11736 13203 14688 15648 16626 17604 19584 20864 22032 22168 23472 24939 26406 29376 31296 33252 35208 44064 44336 46944 49878 52812 58752 62592 66504 70416 74817 88128 88672 93888 99756 105624 133008 140832 149634 176256 177344 187776 199512 211248 224451 266016 281664 299268 354688 399024 422496 448902 532032 563328 598536 798048 844992 897804 1064064 1197072 1596096 1689984 1795608 2394144 3192192 3591216 4788288 7182432 9576576 14364864 28729728