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28333620 = 223257113199
BaseRepresentation
bin110110000010…
…1011000110100
31222022111102100
41230011120310
524223133440
62451142100
7462555210
oct154053064
958274370
1028333620
1114aa2517
1295a4930
135b40673
143a97940
15274a230
hex1b05634

28333620 has 144 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 6386688.

The previous prime is 28333619. The next prime is 28333637. The reversal of 28333620 is 2633382.

28333620 is a `hidden beast` number, since 2 + 8 + 3 + 33 + 620 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 142281 + ... + 142479.

It is an arithmetic number, because the mean of its divisors is an integer number (691600).

Almost surely, 228333620 is an apocalyptic number.

28333620 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 28333620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

28333620 is an abundant number, since it is smaller than the sum of its proper divisors (71256780).

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

28333620 is a wasteful number, since it uses less digits than its factorization.

28333620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 28333620 is about 5322.9334018002. The cubic root of 28333620 is about 304.8601706080.

The spelling of 28333620 in words is "twenty-eight million, three hundred thirty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 113 126 140 180 199 210 226 252 315 339 398 420 452 565 597 630 678 791 796 995 1017 1130 1194 1260 1356 1393 1582 1695 1791 1990 2034 2260 2373 2388 2786 2985 3164 3390 3582 3955 3980 4068 4179 4746 5085 5572 5970 6780 6965 7119 7164 7910 8358 8955 9492 10170 11865 11940 12537 13930 14238 15820 16716 17910 20340 20895 22487 23730 25074 27860 28476 35595 35820 41790 44974 47460 50148 62685 67461 71190 83580 89948 112435 125370 134922 142380 157409 202383 224870 250740 269844 314818 337305 404766 449740 472227 629636 674610 787045 809532 944454 1011915 1349220 1416681 1574090 1888908 2023830 2361135 2833362 3148180 4047660 4722270 5666724 7083405 9444540 14166810 28333620