Search a number
-
+
28903600 = 2452116569
BaseRepresentation
bin110111001000…
…0100010110000
32000101110021201
41232100202300
524344403400
62511300544
7500451025
oct156204260
960343251
1028903600
1115351780
12981a754
135cacc2b
143ba554c
15280e06a
hex1b908b0

28903600 has 60 divisors (see below), whose sum is σ = 75765240. Its totient is φ = 10508800.

The previous prime is 28903597. The next prime is 28903601. The reversal of 28903600 is 630982.

It is not an unprimeable number, because it can be changed into a prime (28903601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116 + ... + 7684.

It is an arithmetic number, because the mean of its divisors is an integer number (1262754).

Almost surely, 228903600 is an apocalyptic number.

28903600 is a gapful number since it is divisible by the number (20) 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 28903600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37882620).

28903600 is an abundant number, since it is smaller than the sum of its proper divisors (46861640).

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

28903600 is a wasteful number, since it uses less digits than its factorization.

28903600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 28903600 is about 5376.2068412590. The cubic root of 28903600 is about 306.8908778320.

The spelling of 28903600 in words is "twenty-eight million, nine hundred three thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 6569 13138 26276 32845 52552 65690 72259 105104 131380 144518 164225 262760 289036 328450 361295 525520 578072 656900 722590 1156144 1313800 1445180 1806475 2627600 2890360 3612950 5780720 7225900 14451800 28903600