Search a number
-
+
28963548 = 22333141211
BaseRepresentation
bin110111001111…
…1001011011100
32000111111112000
41232133023130
524403313143
62512442300
7501120555
oct156371334
960444460
1028963548
1115392819
129849390
1360012c3
143bbd32c
152821bd3
hex1b9f2dc

28963548 has 96 divisors (see below), whose sum is σ = 79779840. Its totient is φ = 9072000.

The previous prime is 28963541. The next prime is 28963549. The reversal of 28963548 is 84536982.

28963548 is a `hidden beast` number, since 2 + 8 + 9 + 635 + 4 + 8 = 666.

It is a super-2 number, since 2×289635482 = 1677774225496608, which contains 22 as substring.

Its product of digits (414720) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28963541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137163 + ... + 137373.

It is an arithmetic number, because the mean of its divisors is an integer number (831040).

Almost surely, 228963548 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 28963548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39889920).

28963548 is an abundant number, since it is smaller than the sum of its proper divisors (50816292).

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

28963548 is a wasteful number, since it uses less digits than its factorization.

28963548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 28963548 is about 5381.7792596873. The cubic root of 28963548 is about 307.1029020523.

The spelling of 28963548 in words is "twenty-eight million, nine hundred sixty-three thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 82 93 108 123 124 164 186 211 246 279 369 372 422 492 558 633 738 837 844 1107 1116 1266 1271 1476 1674 1899 2214 2532 2542 3348 3798 3813 4428 5084 5697 6541 7596 7626 8651 11394 11439 13082 15252 17302 19623 22788 22878 25953 26164 34317 34604 39246 45756 51906 58869 68634 77859 78492 103812 117738 137268 155718 176607 233577 235476 268181 311436 353214 467154 536362 706428 804543 934308 1072724 1609086 2413629 3218172 4827258 7240887 9654516 14481774 28963548