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28252380 = 223513291249
BaseRepresentation
bin110101111000…
…1100011011100
31222011100222110
41223301203130
524213034010
62445314020
7462066312
oct153614334
958140873
1028252380
1114a47482
129565910
135b126b0
143a760b2
152731120
hex1af18dc

28252380 has 96 divisors (see below), whose sum is σ = 88200000. Its totient is φ = 6709248.

The previous prime is 28252379. The next prime is 28252381. The reversal of 28252380 is 8325282.

It is an interprime number because it is at equal distance from previous prime (28252379) and next prime (28252381).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28252381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21996 + ... + 23244.

It is an arithmetic number, because the mean of its divisors is an integer number (918750).

Almost surely, 228252380 is an apocalyptic number.

28252380 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 28252380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44100000).

28252380 is an abundant number, since it is smaller than the sum of its proper divisors (59947620).

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

28252380 is a wasteful number, since it uses less digits than its factorization.

28252380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 28252380 is about 5315.2967932186. The cubic root of 28252380 is about 304.5685200403.

The spelling of 28252380 in words is "twenty-eight million, two hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 754 780 870 1131 1249 1508 1740 1885 2262 2498 3747 3770 4524 4996 5655 6245 7494 7540 11310 12490 14988 16237 18735 22620 24980 32474 36221 37470 48711 64948 72442 74940 81185 97422 108663 144884 162370 181105 194844 217326 243555 324740 362210 434652 470873 487110 543315 724420 941746 974220 1086630 1412619 1883492 2173260 2354365 2825238 4708730 5650476 7063095 9417460 14126190 28252380