Search a number
-
+
28229544 = 2332779709
BaseRepresentation
bin110101110101…
…1111110101000
31222010012122200
41223223332220
524211321134
62445020200
7461642610
oct153537650
958105580
1028229544
1114a31302
129554660
135b05195
143a6ba40
152729499
hex1aebfa8

28229544 has 96 divisors (see below), whose sum is σ = 88608000. Its totient is φ = 7952256.

The previous prime is 28229527. The next prime is 28229567. The reversal of 28229544 is 44592282.

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

It is a junction number, because it is equal to n+sod(n) for n = 28229499 and 28229508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39462 + ... + 40170.

It is an arithmetic number, because the mean of its divisors is an integer number (923000).

Almost surely, 228229544 is an apocalyptic number.

28229544 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 28229544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44304000).

28229544 is an abundant number, since it is smaller than the sum of its proper divisors (60378456).

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

28229544 is a wasteful number, since it uses less digits than its factorization.

28229544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 800 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 28229544 is about 5313.1482192764. The cubic root of 28229544 is about 304.4864384425.

The spelling of 28229544 in words is "twenty-eight million, two hundred twenty-nine thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 709 711 948 1106 1418 1422 1659 1896 2127 2212 2836 2844 3318 4254 4424 4963 4977 5672 5688 6381 6636 8508 9926 9954 12762 13272 14889 17016 19852 19908 25524 29778 39704 39816 44667 51048 56011 59556 89334 112022 119112 168033 178668 224044 336066 357336 392077 448088 504099 672132 784154 1008198 1176231 1344264 1568308 2016396 2352462 3136616 3528693 4032792 4704924 7057386 9409848 14114772 28229544