Search a number
-
+
28832958 = 23271171293
BaseRepresentation
bin110110111111…
…1010010111110
32000020212101100
41231333102332
524340123313
62505553530
7500035050
oct155772276
960225340
1028832958
11153036a0
1297a58a6
135c86a2b
143b878d0
1527e8173
hex1b7f4be

28832958 has 96 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 7358400.

The previous prime is 28832957. The next prime is 28832971. The reversal of 28832958 is 85923882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28832957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98260 + ... + 98552.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 228832958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28832958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

28832958 is an abundant number, since it is smaller than the sum of its proper divisors (50420034).

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

28832958 is a wasteful number, since it uses less digits than its factorization.

28832958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 387 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 28832958 is about 5369.6329483494. The cubic root of 28832958 is about 306.6406544309.

The spelling of 28832958 in words is "twenty-eight million, eight hundred thirty-two thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 71 77 99 126 142 154 198 213 231 293 426 462 497 586 639 693 781 879 994 1278 1386 1491 1562 1758 2051 2343 2637 2982 3223 4102 4473 4686 5274 5467 6153 6446 7029 8946 9669 10934 12306 14058 16401 18459 19338 20803 22561 29007 32802 36918 41606 45122 49203 58014 62409 67683 98406 124818 135366 145621 187227 203049 228833 291242 374454 406098 436863 457666 686499 873726 1310589 1372998 1601831 2059497 2621178 3203662 4118994 4805493 9610986 14416479 28832958