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28863432 = 23331319541
BaseRepresentation
bin110111000011…
…0101111001000
32000022102012000
41232012233020
524342112212
62510351000
7500222643
oct156065710
960272160
1028863432
1115324584
1297bb460
135c97870
143b94a5a
1528021dc
hex1b86bc8

28863432 has 128 divisors (see below), whose sum is σ = 91056000. Its totient is φ = 8398080.

The previous prime is 28863427. The next prime is 28863437. The reversal of 28863432 is 23436882.

It is an interprime number because it is at equal distance from previous prime (28863427) and next prime (28863437).

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 not an unprimeable number, because it can be changed into a prime (28863437) 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 31 ways as a sum of consecutive naturals, for example, 53082 + ... + 53622.

It is an arithmetic number, because the mean of its divisors is an integer number (711375).

Almost surely, 228863432 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 28863432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45528000).

28863432 is an abundant number, since it is smaller than the sum of its proper divisors (62192568).

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

28863432 is a wasteful number, since it uses less digits than its factorization.

28863432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

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

The square root of 28863432 is about 5372.4698230888. The cubic root of 28863432 is about 306.7486474794.

The spelling of 28863432 in words is "twenty-eight million, eight hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 541 684 702 741 936 988 1026 1082 1368 1404 1482 1623 1976 2052 2164 2223 2808 2964 3246 4104 4328 4446 4869 5928 6492 6669 7033 8892 9738 10279 12984 13338 14066 14607 17784 19476 20558 21099 26676 28132 29214 30837 38952 41116 42198 53352 56264 58428 61674 63297 82232 84396 92511 116856 123348 126594 133627 168792 185022 189891 246696 253188 267254 277533 370044 379782 400881 506376 534508 555066 740088 759564 801762 1069016 1110132 1202643 1519128 1603524 2220264 2405286 3207048 3607929 4810572 7215858 9621144 14431716 28863432