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28223680 = 26589991
BaseRepresentation
bin110101110101…
…0100011000000
31222002220121111
41223222203000
524211124210
62444533104
7461616532
oct153524300
958086544
1028223680
1114a27961
129551194
135b02604
143a69852
15272788a
hex1aea8c0

28223680 has 56 divisors (see below), whose sum is σ = 68031360. Its totient is φ = 11151360.

The previous prime is 28223659. The next prime is 28223687. The reversal of 28223680 is 8632282.

It is a super-2 number, since 2×282236802 = 1593152225484800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28223687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27985 + ... + 28975.

Almost surely, 228223680 is an apocalyptic number.

28223680 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 28223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34015680).

28223680 is an abundant number, since it is smaller than the sum of its proper divisors (39807680).

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

28223680 is an equidigital number, since it uses as much as digits as its factorization.

28223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 28223680 is about 5312.5963520674. The cubic root of 28223680 is about 304.4653537694.

The spelling of 28223680 in words is "twenty-eight million, two hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 445 712 890 991 1424 1780 1982 2848 3560 3964 4955 5696 7120 7928 9910 14240 15856 19820 28480 31712 39640 63424 79280 88199 158560 176398 317120 352796 440995 705592 881990 1411184 1763980 2822368 3527960 5644736 7055920 14111840 28223680