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28943424 = 2632109461
BaseRepresentation
bin110111001101…
…0010001000000
32000110110220200
41232122101000
524402142144
62512205200
7501005106
oct156322100
960413820
1028943424
1115379694
129839800
135cc50b3
143bb5c76
15281ac69
hex1b9a440

28943424 has 84 divisors (see below), whose sum is σ = 83903820. Its totient is φ = 9538560.

The previous prime is 28943389. The next prime is 28943443. The reversal of 28943424 is 42434982.

It can be written as a sum of positive squares in 2 ways, for example, as 14745600 + 14197824 = 3840^2 + 3768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62554 + ... + 63014.

It is an arithmetic number, because the mean of its divisors is an integer number (998855).

Almost surely, 228943424 is an apocalyptic number.

28943424 is a gapful number since it is divisible by the number (24) 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 28943424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41951910).

28943424 is an abundant number, since it is smaller than the sum of its proper divisors (54960396).

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

28943424 is a wasteful number, since it uses less digits than its factorization.

28943424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 28943424 is about 5379.9092929156. The cubic root of 28943424 is about 307.0317600928.

The spelling of 28943424 in words is "twenty-eight million, nine hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 144 192 218 288 327 436 461 576 654 872 922 981 1308 1383 1744 1844 1962 2616 2766 3488 3688 3924 4149 5232 5532 6976 7376 7848 8298 10464 11064 14752 15696 16596 20928 22128 29504 31392 33192 44256 50249 62784 66384 88512 100498 132768 150747 200996 265536 301494 401992 452241 602988 803984 904482 1205976 1607968 1808964 2411952 3215936 3617928 4823904 7235856 9647808 14471712 28943424