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28303920 = 24325192069
BaseRepresentation
bin110101111111…
…0001000110000
31222020222200100
41223332020300
524221211140
62450352400
7462402501
oct153761060
958228610
1028303920
1114a82177
12958b700
135b2cca8
143a8aba8
152741530
hex1afe230

28303920 has 120 divisors (see below), whose sum is σ = 100105200. Its totient is φ = 7147008.

The previous prime is 28303903. The next prime is 28303943. The reversal of 28303920 is 2930382.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×283039202 = 1602223774732800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12646 + ... + 14714.

It is an arithmetic number, because the mean of its divisors is an integer number (834210).

Almost surely, 228303920 is an apocalyptic number.

28303920 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 28303920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50052600).

28303920 is an abundant number, since it is smaller than the sum of its proper divisors (71801280).

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

28303920 is a wasteful number, since it uses less digits than its factorization.

28303920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 28303920 is about 5320.1428552248. The cubic root of 28303920 is about 304.7536127146.

The spelling of 28303920 in words is "twenty-eight million, three hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2069 2280 2736 3420 4138 4560 6207 6840 8276 10345 12414 13680 16552 18621 20690 24828 31035 33104 37242 39311 41380 49656 62070 74484 78622 82760 93105 99312 117933 124140 148968 157244 165520 186210 196555 235866 248280 297936 314488 353799 372420 393110 471732 496560 589665 628976 707598 744840 786220 943464 1179330 1415196 1489680 1572440 1768995 1886928 2358660 2830392 3144880 3537990 4717320 5660784 7075980 9434640 14151960 28303920