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28725138 = 23313172983
BaseRepresentation
bin110110110010…
…0111110010010
32000001101111000
41231210332102
524323201023
62503402430
7466105521
oct155447622
960041430
1028725138
111523a692
129753416
135c49930
143b5a4b8
1527c6243
hex1b64f92

28725138 has 128 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 7934976.

The previous prime is 28725101. The next prime is 28725139. The reversal of 28725138 is 83152782.

It is not an unprimeable number, because it can be changed into a prime (28725139) 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, 346045 + ... + 346127.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 228725138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28725138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

28725138 is an abundant number, since it is smaller than the sum of its proper divisors (47479662).

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

28725138 is a wasteful number, since it uses less digits than its factorization.

28725138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 28725138 is about 5359.5837524942. The cubic root of 28725138 is about 306.2579524243.

It can be divided in two parts, 287 and 25138, that added together give a triangular number (25425 = T225).

The spelling of 28725138 in words is "twenty-eight million, seven hundred twenty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 29 34 39 51 54 58 78 83 87 102 117 153 166 174 221 234 249 261 306 351 377 442 459 493 498 522 663 702 747 754 783 918 986 1079 1131 1326 1411 1479 1494 1566 1989 2158 2241 2262 2407 2822 2958 3237 3393 3978 4233 4437 4482 4814 5967 6409 6474 6786 7221 8466 8874 9711 10179 11934 12699 12818 13311 14442 18343 19227 19422 20358 21663 25398 26622 29133 31291 36686 38097 38454 40919 43326 55029 57681 58266 62582 64989 76194 81838 93873 110058 115362 122757 129978 165087 173043 187746 245514 281619 330174 346086 368271 495261 531947 563238 736542 844857 990522 1063894 1104813 1595841 1689714 2209626 3191682 4787523 9575046 14362569 28725138