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28512432 = 2433135077
BaseRepresentation
bin110110011000…
…1000010110000
31222122120201000
41230301002300
524244344212
62455042000
7464231424
oct154610260
958576630
1028512432
11151048a3
129670300
135ba3b80
143b02b84
1527831dc
hex1b310b0

28512432 has 80 divisors (see below), whose sum is σ = 88154080. Its totient is φ = 8771328.

The previous prime is 28512431. The next prime is 28512439. The reversal of 28512432 is 23421582.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28512396 and 28512405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28512431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3078 + ... + 8154.

It is an arithmetic number, because the mean of its divisors is an integer number (1101926).

Almost surely, 228512432 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 28512432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44077040).

28512432 is an abundant number, since it is smaller than the sum of its proper divisors (59641648).

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

28512432 is a wasteful number, since it uses less digits than its factorization.

28512432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5095 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 28512432 is about 5339.7033625474. The cubic root of 28512432 is about 305.5001450940.

It can be divided in two parts, 285124 and 32, that added together give a square (285156 = 5342).

The spelling of 28512432 in words is "twenty-eight million, five hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5077 5616 10154 15231 20308 30462 40616 45693 60924 66001 81232 91386 121848 132002 137079 182772 198003 243696 264004 274158 365544 396006 528008 548316 594009 731088 792012 1056016 1096632 1188018 1584024 1782027 2193264 2376036 3168048 3564054 4752072 7128108 9504144 14256216 28512432