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28629342 = 2337233789
BaseRepresentation
bin110110100110…
…1100101011110
31222212112002000
41231031211132
524312114332
62501343130
7465226320
oct155154536
958775060
1028629342
1115184715
129707aa6
135c15151
143b33610
1527a7b7c
hex1b4d95e

28629342 has 128 divisors (see below), whose sum is σ = 78796800. Its totient is φ = 7527168.

The previous prime is 28629331. The next prime is 28629347. The reversal of 28629342 is 24392682.

28629342 is a `hidden beast` number, since 28 + 629 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28629297 and 28629306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28629347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321634 + ... + 321722.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 228629342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28629342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398400).

28629342 is an abundant number, since it is smaller than the sum of its proper divisors (50167458).

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

28629342 is a wasteful number, since it uses less digits than its factorization.

28629342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 28629342 is about 5350.6394010436. The cubic root of 28629342 is about 305.9171248077.

The spelling of 28629342 in words is "twenty-eight million, six hundred twenty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 37 42 46 54 63 69 74 89 111 126 138 161 178 189 207 222 259 267 322 333 378 414 483 518 534 621 623 666 777 801 851 966 999 1242 1246 1449 1554 1602 1702 1869 1998 2047 2331 2403 2553 2898 3293 3738 4094 4347 4662 4806 5106 5607 5957 6141 6586 6993 7659 8694 9879 11214 11914 12282 13986 14329 15318 16821 17871 18423 19758 22977 23051 28658 29637 33642 35742 36846 42987 45954 46102 53613 55269 59274 69153 75739 85974 88911 107226 110538 128961 138306 151478 160839 177822 207459 227217 257922 321678 386883 414918 454434 530173 622377 681651 773766 1060346 1244754 1363302 1590519 2044953 3181038 4089906 4771557 9543114 14314671 28629342