Search a number
-
+
28984480 = 255723697
BaseRepresentation
bin110111010010…
…0010010100000
32000112120020021
41232210102200
524410000410
62513123224
7501235600
oct156442240
960476207
1028984480
11153a7518
129859514
13600a9a5
143bc6c00
152827eda
hex1ba44a0

28984480 has 72 divisors (see below), whose sum is σ = 79677108. Its totient is φ = 9934848.

The previous prime is 28984469. The next prime is 28984489. The reversal of 28984480 is 8448982.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 2729104 = 5124^2 + 1652^2 .

It is not an unprimeable number, because it can be changed into a prime (28984489) 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, 5992 + ... + 9688.

Almost surely, 228984480 is an apocalyptic number.

28984480 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 28984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39838554).

28984480 is an abundant number, since it is smaller than the sum of its proper divisors (50692628).

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

28984480 is a wasteful number, since it uses less digits than its factorization.

28984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 28984480 is about 5383.7236184633. The cubic root of 28984480 is about 307.1768654815.

The spelling of 28984480 in words is "twenty-eight million, nine hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3697 3920 7394 7840 14788 18485 25879 29576 36970 51758 59152 73940 103516 118304 129395 147880 181153 207032 258790 295760 362306 414064 517580 591520 724612 828128 905765 1035160 1449224 1811530 2070320 2898448 3623060 4140640 5796896 7246120 14492240 28984480