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28100028 = 223111931103
BaseRepresentation
bin110101100110…
…0010110111100
31221212121222210
41223030112330
524143200103
62442140420
7460563165
oct153142674
957777883
1028100028
1114952a70
1294b1710
135a8b248
143a3676c
152700e03
hex1acc5bc

28100028 has 48 divisors (see below), whose sum is σ = 71963136. Its totient is φ = 8463360.

The previous prime is 28100011. The next prime is 28100041. The reversal of 28100028 is 82000182.

It is a super-2 number, since 2×281000282 = 1579223147201568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28099977 and 28100013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24925 + ... + 26027.

It is an arithmetic number, because the mean of its divisors is an integer number (1499232).

Almost surely, 228100028 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 28100028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35981568).

28100028 is an abundant number, since it is smaller than the sum of its proper divisors (43863108).

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

28100028 is a wasteful number, since it uses less digits than its factorization.

28100028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 28100028 is about 5300.9459533181. The cubic root of 28100028 is about 304.0200673503.

The spelling of 28100028 in words is "twenty-eight million, one hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 1103 1158 2123 2206 2316 3309 4246 4412 6369 6618 8492 12133 12738 13236 24266 25476 36399 48532 72798 145596 212879 425758 638637 851516 1277274 2341669 2554548 4683338 7025007 9366676 14050014 28100028