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28322010 = 23251372297
BaseRepresentation
bin110110000001…
…0100011011010
31222021220111100
41230002203122
524222301020
62451012230
7462506313
oct154024332
958256440
1028322010
1114a94822
12959a076
135b382b2
143a9360a
152746a90
hex1b028da

28322010 has 48 divisors (see below), whose sum is σ = 74207016. Its totient is φ = 7494144.

The previous prime is 28321999. The next prime is 28322011. The reversal of 28322010 is 1022382.

28322010 = 23782 + 23792 + ... + 23822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23299929 + 5022081 = 4827^2 + 2241^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (28322011) 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 23 ways as a sum of consecutive naturals, for example, 11182 + ... + 13478.

Almost surely, 228322010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28322010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37103508).

28322010 is an abundant number, since it is smaller than the sum of its proper divisors (45885006).

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

28322010 is a wasteful number, since it uses less digits than its factorization.

28322010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 28322010 is about 5321.8427259738. The cubic root of 28322010 is about 304.8185250278.

Adding to 28322010 its reverse (1022382), we get a palindrome (29344392).

The spelling of 28322010 in words is "twenty-eight million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2297 2466 4110 4594 6165 6891 11485 12330 13782 20673 22970 34455 41346 68910 103365 206730 314689 629378 944067 1573445 1888134 2832201 3146890 4720335 5664402 9440670 14161005 28322010