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28073920 = 265783151
BaseRepresentation
bin110101100010…
…1111111000000
31221211022011211
41223011333000
524141331140
62441415504
7460424110
oct153057700
957738154
1028073920
1114935396
12949a594
135a7c3b4
143a2b040
1526e82ea
hex1ac5fc0

28073920 has 112 divisors (see below), whose sum is σ = 77833728. Its totient is φ = 9446400.

The previous prime is 28073917. The next prime is 28073923. The reversal of 28073920 is 2937082.

It is an interprime number because it is at equal distance from previous prime (28073917) and next prime (28073923).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28073923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 185845 + ... + 185995.

It is an arithmetic number, because the mean of its divisors is an integer number (694944).

Almost surely, 228073920 is an apocalyptic number.

28073920 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 28073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38916864).

28073920 is an abundant number, since it is smaller than the sum of its proper divisors (49759808).

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

28073920 is a wasteful number, since it uses less digits than its factorization.

28073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 28073920 is about 5298.4828017084. The cubic root of 28073920 is about 303.9258822079.

The spelling of 28073920 in words is "twenty-eight million, seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 83 112 140 151 160 166 224 280 302 320 332 415 448 560 581 604 664 755 830 1057 1120 1162 1208 1328 1510 1660 2114 2240 2324 2416 2656 2905 3020 3320 4228 4648 4832 5285 5312 5810 6040 6640 8456 9296 9664 10570 11620 12080 12533 13280 16912 18592 21140 23240 24160 25066 26560 33824 37184 42280 46480 48320 50132 62665 67648 84560 87731 92960 100264 125330 169120 175462 185920 200528 250660 338240 350924 401056 438655 501320 701848 802112 877310 1002640 1403696 1754620 2005280 2807392 3509240 4010560 5614784 7018480 14036960 28073920