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28637312 = 27112432
BaseRepresentation
bin110110100111…
…1100010000000
31222212221000012
41231033202000
524312343222
62501444052
7465261464
oct155174200
958787005
1028637312
111518a700
129710628
135c18972
143b364a4
1527aa1e2
hex1b4f880

28637312 has 72 divisors (see below), whose sum is σ = 64201095. Its totient is φ = 12714240.

The previous prime is 28637303. The next prime is 28637317. The reversal of 28637312 is 21373682.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 14318656 + 14318656 = 3784^2 + 3784^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3784.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

Its product of digits (12096) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (28637317) 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 8 ways as a sum of consecutive naturals, for example, 665963 + ... + 666005.

Almost surely, 228637312 is an apocalyptic number.

28637312 is a gapful number since it is divisible by the number (22) 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 28637312

28637312 is an abundant number, since it is smaller than the sum of its proper divisors (35563783).

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

28637312 is an equidigital number, since it uses as much as digits as its factorization.

28637312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 56 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 28637312 is about 5351.3841200198. The cubic root of 28637312 is about 305.9455098269.

Multiplying 28637312 by its sum of digits (32), we get a square (916393984 = 302722).

28637312 divided by its sum of digits (32) gives a square (894916 = 9462).

The spelling of 28637312 in words is "twenty-eight million, six hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 121 128 172 176 242 344 352 473 484 688 704 946 968 1376 1408 1849 1892 1936 2752 3698 3784 3872 5203 5504 7396 7568 7744 10406 14792 15136 15488 20339 20812 29584 30272 40678 41624 59168 60544 81356 83248 118336 162712 166496 223729 236672 325424 332992 447458 650848 665984 894916 1301696 1789832 2603392 3579664 7159328 14318656 28637312