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28793424 = 24311232371
BaseRepresentation
bin110110111010…
…1101001010000
32000011212011010
41231311221100
524332342144
62505050520
7466511562
oct155655120
960155133
1028793424
1115286a20
129786a40
135c71a3a
143b77332
1527db5b9
hex1b75a50

28793424 has 80 divisors (see below), whose sum is σ = 84708864. Its totient is φ = 8342400.

The previous prime is 28793423. The next prime is 28793431. The reversal of 28793424 is 42439782.

It is a super-2 number, since 2×287934242 = 1658122531287552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28793423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10959 + ... + 13329.

Almost surely, 228793424 is an apocalyptic number.

28793424 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 28793424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42354432).

28793424 is an abundant number, since it is smaller than the sum of its proper divisors (55915440).

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

28793424 is a wasteful number, since it uses less digits than its factorization.

28793424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2410 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 28793424 is about 5365.9504283957. The cubic root of 28793424 is about 306.5004413166.

The spelling of 28793424 in words is "twenty-eight million, seven hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 2371 3036 4048 4742 6072 7113 9484 12144 14226 18968 26081 28452 37936 52162 54533 56904 78243 104324 109066 113808 156486 163599 208648 218132 312972 327198 417296 436264 599863 625944 654396 872528 1199726 1251888 1308792 1799589 2399452 2617584 3599178 4798904 7198356 9597808 14396712 28793424