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28829790 = 23351117571
BaseRepresentation
bin110110111111…
…0100001011110
32000020201001000
41231332201132
524340023130
62505531130
7500022603
oct155764136
960221030
1028829790
1115301280
1297a3aa6
135c85462
143b866aa
1527e7260
hex1b7e85e

28829790 has 128 divisors (see below), whose sum is σ = 88957440. Its totient is φ = 6566400.

The previous prime is 28829777. The next prime is 28829791. The reversal of 28829790 is 9792882.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28829791) 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, 50205 + ... + 50775.

It is an arithmetic number, because the mean of its divisors is an integer number (694980).

Almost surely, 228829790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28829790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44478720).

28829790 is an abundant number, since it is smaller than the sum of its proper divisors (60127650).

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

28829790 is a wasteful number, since it uses less digits than its factorization.

28829790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 28829790 is about 5369.3379480156. The cubic root of 28829790 is about 306.6294233810.

The spelling of 28829790 in words is "twenty-eight million, eight hundred twenty-nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 571 594 765 918 935 990 1122 1142 1485 1530 1683 1713 1870 2295 2805 2855 2970 3366 3426 4590 5049 5139 5610 5710 6281 8415 8565 9707 10098 10278 12562 15417 16830 17130 18843 19414 25245 25695 29121 30834 31405 37686 48535 50490 51390 56529 58242 62810 77085 87363 94215 97070 106777 113058 145605 154170 169587 174726 188430 213554 262089 282645 291210 320331 339174 436815 524178 533885 565290 640662 847935 873630 960993 1067770 1310445 1601655 1695870 1921986 2620890 2882979 3203310 4804965 5765958 9609930 14414895 28829790