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28267040 = 2553141139
BaseRepresentation
bin110101111010…
…1001000100000
31222012010002102
41223311020200
524214021130
62445505532
7462160124
oct153651040
958163072
1028267040
1114a5749a
1295722a8
135b19279
143a7b584
152735645
hex1af5220

28267040 has 96 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 10598400.

The previous prime is 28267027. The next prime is 28267067. The reversal of 28267040 is 4076282.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28266994 and 28267012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203291 + ... + 203429.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 228267040 is an apocalyptic number.

28267040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

28267040 is an abundant number, since it is smaller than the sum of its proper divisors (42857440).

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

28267040 is a wasteful number, since it uses less digits than its factorization.

28267040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 28267040 is about 5316.6756530750. The cubic root of 28267040 is about 304.6211905580.

The spelling of 28267040 in words is "twenty-eight million, two hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 80 82 124 139 155 160 164 205 248 278 310 328 410 496 556 620 656 695 820 992 1112 1240 1271 1312 1390 1640 2224 2480 2542 2780 3280 4309 4448 4960 5084 5560 5699 6355 6560 8618 10168 11120 11398 12710 17236 20336 21545 22240 22796 25420 28495 34472 40672 43090 45592 50840 56990 68944 86180 91184 101680 113980 137888 172360 176669 182368 203360 227960 344720 353338 455920 689440 706676 883345 911840 1413352 1766690 2826704 3533380 5653408 7066760 14133520 28267040