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28829844 = 2234101881
BaseRepresentation
bin110110111111…
…0100010010100
32000020201010000
41231332202110
524340023334
62505531300
7500023011
oct155764224
960221100
1028829844
111530131a
1297a3b30
135c854a4
143b86708
1527e7299
hex1b7e894

28829844 has 60 divisors (see below), whose sum is σ = 76199508. Its totient is φ = 9504000.

The previous prime is 28829839. The next prime is 28829849. The reversal of 28829844 is 44892882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28829839) and next prime (28829849).

It can be written as a sum of positive squares in 2 ways, for example, as 17740944 + 11088900 = 4212^2 + 3330^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28829844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28829849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32284 + ... + 33164.

Almost surely, 228829844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28829844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38099754).

28829844 is an abundant number, since it is smaller than the sum of its proper divisors (47369664).

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

28829844 is a wasteful number, since it uses less digits than its factorization.

28829844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 28829844 is about 5369.3429765661. The cubic root of 28829844 is about 306.6296148262.

The spelling of 28829844 in words is "twenty-eight million, eight hundred twenty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 881 909 1212 1762 1818 2643 2727 3524 3636 5286 5454 7929 8181 10572 10908 15858 16362 23787 31716 32724 47574 71361 88981 95148 142722 177962 266943 285444 355924 533886 800829 1067772 1601658 2402487 3203316 4804974 7207461 9609948 14414922 28829844