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28297008 = 24323747113
BaseRepresentation
bin110101111110…
…0011100110000
31222020122012100
41223330130300
524221001013
62450300400
7462343365
oct153743460
958218170
1028297008
1114a77a63
129587700
135b29abc
143a8846c
15273e473
hex1afc730

28297008 has 120 divisors (see below), whose sum is σ = 83798208. Its totient is φ = 8902656.

The previous prime is 28296991. The next prime is 28297013. The reversal of 28297008 is 80079282.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250360 + ... + 250472.

Almost surely, 228297008 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 28297008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41899104).

28297008 is an abundant number, since it is smaller than the sum of its proper divisors (55501200).

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

28297008 is a wasteful number, since it uses less digits than its factorization.

28297008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 28297008 is about 5319.4932089439. The cubic root of 28297008 is about 304.7288030950.

The spelling of 28297008 in words is "twenty-eight million, two hundred ninety-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 47 48 72 74 94 111 113 141 144 148 188 222 226 282 296 333 339 376 423 444 452 564 592 666 678 752 846 888 904 1017 1128 1332 1356 1692 1739 1776 1808 2034 2256 2664 2712 3384 3478 4068 4181 5217 5311 5328 5424 6768 6956 8136 8362 10434 10622 12543 13912 15651 15933 16272 16724 20868 21244 25086 27824 31302 31866 33448 37629 41736 42488 47799 50172 62604 63732 66896 75258 83472 84976 95598 100344 125208 127464 150516 191196 196507 200688 250416 254928 301032 382392 393014 589521 602064 764784 786028 1179042 1572056 1768563 2358084 3144112 3537126 4716168 7074252 9432336 14148504 28297008