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28341824 = 267411543
BaseRepresentation
bin110110000011…
…1011001000000
31222022220200012
41230013121000
524223414244
62451244052
7462621140
oct154073100
958286605
1028341824
1114aa86a5
1295a9628
135b44314
143a9a920
15274c89e
hex1b07640

28341824 has 56 divisors (see below), whose sum is σ = 65885568. Its totient is φ = 11842560.

The previous prime is 28341823. The next prime is 28341829. The reversal of 28341824 is 42814382.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is not an unprimeable number, because it can be changed into a prime (28341821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17597 + ... + 19139.

It is an arithmetic number, because the mean of its divisors is an integer number (1176528).

Almost surely, 228341824 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 28341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32942784).

28341824 is an abundant number, since it is smaller than the sum of its proper divisors (37543744).

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

28341824 is a wasteful number, since it uses less digits than its factorization.

28341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1593 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 28341824 is about 5323.7039737386. The cubic root of 28341824 is about 304.8895918572.

The spelling of 28341824 in words is "twenty-eight million, three hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 1543 2296 2624 3086 4592 6172 9184 10801 12344 18368 21602 24688 43204 49376 63263 86408 98752 126526 172816 253052 345632 442841 506104 691264 885682 1012208 1771364 2024416 3542728 4048832 7085456 14170912 28341824