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10828428 = 22313411693
BaseRepresentation
bin101001010011…
…101010001100
3202101010210220
4221103222030
510233002203
61024031340
7161016522
oct51235214
922333726
1010828428
116126616
123762550
132321970
14161c312
15e3d653
hexa53a8c

10828428 has 48 divisors (see below), whose sum is σ = 27890016. Its totient is φ = 3248640.

The previous prime is 10828427. The next prime is 10828459. The reversal of 10828428 is 82482801.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10828427) 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 15 ways as a sum of consecutive naturals, for example, 5550 + ... + 7242.

It is an arithmetic number, because the mean of its divisors is an integer number (581042).

Almost surely, 210828428 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 10828428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13945008).

10828428 is an abundant number, since it is smaller than the sum of its proper divisors (17061588).

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

10828428 is a wasteful number, since it uses less digits than its factorization.

10828428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 10828428 is about 3290.6576850229. The cubic root of 10828428 is about 221.2356637907.

The spelling of 10828428 in words is "ten million, eight hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 1693 2132 3198 3386 5079 6396 6772 10158 20316 22009 44018 66027 69413 88036 132054 138826 208239 264108 277652 416478 832956 902369 1804738 2707107 3609476 5414214 10828428