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28133616 = 2437313773
BaseRepresentation
bin110101101010…
…0100011110000
31221221100001210
41223110203300
524200233431
62443000120
7461063130
oct153244360
957840053
1028133616
1114976225
129509040
135aa0614
143a44ac0
15270ad46
hex1ad48f0

28133616 has 160 divisors (see below), whose sum is σ = 89264128. Its totient is φ = 7464960.

The previous prime is 28133603. The next prime is 28133621. The reversal of 28133616 is 61633182.

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

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, 385356 + ... + 385428.

Almost surely, 228133616 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 28133616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44632064).

28133616 is an abundant number, since it is smaller than the sum of its proper divisors (61130512).

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

28133616 is a wasteful number, since it uses less digits than its factorization.

28133616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 28133616 is about 5304.1131209657. The cubic root of 28133616 is about 304.1411509799.

Adding to 28133616 its reverse (61633182), we get a palindrome (89766798).

The spelling of 28133616 in words is "twenty-eight million, one hundred thirty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 37 42 48 56 62 73 74 84 93 111 112 124 146 148 168 186 217 219 222 248 259 292 296 336 372 434 438 444 496 511 518 584 592 651 744 777 868 876 888 1022 1036 1147 1168 1302 1488 1533 1554 1736 1752 1776 2044 2072 2263 2294 2604 2701 3066 3108 3441 3472 3504 4088 4144 4526 4588 5208 5402 6132 6216 6789 6882 8029 8103 8176 9052 9176 10416 10804 12264 12432 13578 13764 15841 16058 16206 18104 18352 18907 21608 24087 24528 27156 27528 31682 32116 32412 36208 37814 43216 47523 48174 54312 55056 56721 63364 64232 64824 75628 83731 95046 96348 108624 113442 126728 128464 129648 151256 167462 190092 192696 226884 251193 253456 302512 334924 380184 385392 453768 502386 586117 669848 760368 907536 1004772 1172234 1339696 1758351 2009544 2344468 3516702 4019088 4688936 7033404 9377872 14066808 28133616