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28300032 = 283271173
BaseRepresentation
bin110101111110…
…1001100000000
31222020210100100
41223331030000
524221100112
62450322400
7462355245
oct153751400
958223310
1028300032
1114a7a262
129589400
135b2b2a7
143a895cc
1527402dc
hex1afd300

28300032 has 108 divisors (see below), whose sum is σ = 83223504. Its totient is φ = 9246720.

The previous prime is 28300031. The next prime is 28300033. The reversal of 28300032 is 23000382.

It is an interprime number because it is at equal distance from previous prime (28300031) and next prime (28300033).

It is a super-2 number, since 2×283000322 = 1601783622402048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 28299978 and 28300014.

It is not an unprimeable number, because it can be changed into a prime (28300031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163498 + ... + 163670.

It is an arithmetic number, because the mean of its divisors is an integer number (770588).

Almost surely, 228300032 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 28300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41611752).

28300032 is an abundant number, since it is smaller than the sum of its proper divisors (54923472).

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

28300032 is a wasteful number, since it uses less digits than its factorization.

28300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 28300032 is about 5319.7774389536. Note that the first 3 decimals coincide. The cubic root of 28300032 is about 304.7396578007.

The spelling of 28300032 in words is "twenty-eight million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 173 192 213 256 284 288 346 384 426 519 568 576 639 692 768 852 1038 1136 1152 1278 1384 1557 1704 2076 2272 2304 2556 2768 3114 3408 4152 4544 5112 5536 6228 6816 8304 9088 10224 11072 12283 12456 13632 16608 18176 20448 22144 24566 24912 27264 33216 36849 40896 44288 49132 49824 54528 66432 73698 81792 98264 99648 110547 132864 147396 163584 196528 199296 221094 294792 393056 398592 442188 589584 786112 884376 1179168 1572224 1768752 2358336 3144448 3537504 4716672 7075008 9433344 14150016 28300032