Search a number
-
+
28696752 = 24327483
BaseRepresentation
bin110110101111…
…0000010110000
31222222221112200
41231132002300
524321244002
62503023200
7465630000
oct155360260
958887480
1028696752
1115220327
12973ab00
135c39a36
143b50000
1527bcb1c
hex1b5e0b0

28696752 has 150 divisors (see below), whose sum is σ = 94819452. Its totient is φ = 8100288.

The previous prime is 28696741. The next prime is 28696753. The reversal of 28696752 is 25769682.

It is a junction number, because it is equal to n+sod(n) for n = 28696698 and 28696707.

It is not an unprimeable number, because it can be changed into a prime (28696753) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345703 + ... + 345785.

Almost surely, 228696752 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 28696752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47409726).

28696752 is an abundant number, since it is smaller than the sum of its proper divisors (66122700).

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

28696752 is an equidigital number, since it uses as much as digits as its factorization.

28696752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 28696752 is about 5356.9349445368. The cubic root of 28696752 is about 306.1570384512.

The spelling of 28696752 in words is "twenty-eight million, six hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 83 84 98 112 126 144 147 166 168 196 249 252 294 332 336 343 392 441 498 504 581 588 664 686 747 784 882 996 1008 1029 1162 1176 1328 1372 1494 1743 1764 1992 2058 2324 2352 2401 2744 2988 3087 3486 3528 3984 4067 4116 4648 4802 5229 5488 5976 6174 6972 7056 7203 8134 8232 9296 9604 10458 11952 12201 12348 13944 14406 16268 16464 19208 20916 21609 24402 24696 27888 28469 28812 32536 36603 38416 41832 43218 48804 49392 56938 57624 65072 73206 83664 85407 86436 97608 113876 115248 146412 170814 172872 195216 199283 227752 256221 292824 341628 345744 398566 455504 512442 585648 597849 683256 797132 1024884 1195698 1366512 1594264 1793547 2049768 2391396 3188528 3587094 4099536 4782792 7174188 9565584 14348376 28696752