Search a number
-
+
28155264 = 2731719227
BaseRepresentation
bin110101101100…
…1110110000000
31221222102202120
41223121312000
524201432024
62443244240
7461213214
oct153316600
957872676
1028155264
1114990515
129519680
135aaa427
143a4c944
152712479
hex1ad9d80

28155264 has 128 divisors (see below), whose sum is σ = 83721600. Its totient is φ = 8331264.

The previous prime is 28155251. The next prime is 28155269. The reversal of 28155264 is 46255182.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28155269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123919 + ... + 124145.

It is an arithmetic number, because the mean of its divisors is an integer number (654075).

Almost surely, 228155264 is an apocalyptic number.

28155264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860800).

28155264 is an abundant number, since it is smaller than the sum of its proper divisors (55566336).

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

28155264 is a wasteful number, since it uses less digits than its factorization.

28155264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 28155264 is about 5306.1534090149. The cubic root of 28155264 is about 304.2191402391.

The spelling of 28155264 in words is "twenty-eight million, one hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 227 228 272 304 323 384 408 454 456 544 608 646 681 816 908 912 969 1088 1216 1292 1362 1632 1816 1824 1938 2176 2432 2584 2724 3264 3632 3648 3859 3876 4313 5168 5448 6528 7264 7296 7718 7752 8626 10336 10896 11577 12939 14528 15436 15504 17252 20672 21792 23154 25878 29056 30872 31008 34504 41344 43584 46308 51756 61744 62016 69008 73321 87168 92616 103512 123488 124032 138016 146642 185232 207024 219963 246976 276032 293284 370464 414048 439926 493952 552064 586568 740928 828096 879852 1173136 1481856 1656192 1759704 2346272 3519408 4692544 7038816 9385088 14077632 28155264