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28413936 = 2433175373
BaseRepresentation
bin110110001100…
…0111111110000
31222110120121000
41230120333300
524233221221
62453002000
7463341315
oct154307760
958416530
1028413936
11150478a1
129623300
135b6b0a5
143ab8d0c
152763e26
hex1b18ff0

28413936 has 160 divisors (see below), whose sum is σ = 89190720. Its totient is φ = 8626176.

The previous prime is 28413929. The next prime is 28413941. The reversal of 28413936 is 63931482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28413936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389196 + ... + 389268.

It is an arithmetic number, because the mean of its divisors is an integer number (557442).

Almost surely, 228413936 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 28413936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44595360).

28413936 is an abundant number, since it is smaller than the sum of its proper divisors (60776784).

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

28413936 is a wasteful number, since it uses less digits than its factorization.

28413936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 28413936 is about 5330.4723993282. The cubic root of 28413936 is about 305.1479565220.

The spelling of 28413936 in words is "twenty-eight million, four hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 53 54 68 72 73 102 106 108 136 144 146 153 159 204 212 216 219 272 292 306 318 408 424 432 438 459 477 584 612 636 657 816 848 876 901 918 954 1168 1224 1241 1272 1314 1431 1752 1802 1836 1908 1971 2448 2482 2544 2628 2703 2862 3504 3604 3672 3723 3816 3869 3942 4964 5256 5406 5724 7208 7344 7446 7632 7738 7884 8109 9928 10512 10812 11169 11448 11607 14416 14892 15476 15768 16218 19856 21624 22338 22896 23214 24327 29784 30952 31536 32436 33507 34821 43248 44676 46428 48654 59568 61904 64872 65773 67014 69642 89352 92856 97308 104463 129744 131546 134028 139284 178704 185712 194616 197319 208926 263092 268056 278568 389232 394638 417852 526184 536112 557136 591957 789276 835704 1052368 1183914 1578552 1671408 1775871 2367828 3157104 3551742 4735656 7103484 9471312 14206968 28413936