Search a number
-
+
28459008 = 21432193
BaseRepresentation
bin110110010010…
…0000000000000
31222112212102100
41230210000000
524241142013
62453550400
7463616604
oct154440000
958485370
1028459008
1115078746
129645400
135b85766
143acb504
152772473
hex1b24000

28459008 has 90 divisors (see below), whose sum is σ = 82638374. Its totient is φ = 9437184.

The previous prime is 28458973. The next prime is 28459009. The reversal of 28459008 is 80095482.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 7225344 = 4608^2 + 2688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (28459009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147360 + ... + 147552.

Almost surely, 228459008 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 28459008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319187).

28459008 is an abundant number, since it is smaller than the sum of its proper divisors (54179366).

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

28459008 is an equidigital number, since it uses as much as digits as its factorization.

28459008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28459008 is about 5334.6984919487. The cubic root of 28459008 is about 305.3092196759.

The spelling of 28459008 in words is "twenty-eight million, four hundred fifty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 256 288 384 386 512 576 579 768 772 1024 1152 1158 1536 1544 1737 2048 2304 2316 3072 3088 3474 4096 4608 4632 6144 6176 6948 8192 9216 9264 12288 12352 13896 16384 18432 18528 24576 24704 27792 36864 37056 49152 49408 55584 73728 74112 98816 111168 147456 148224 197632 222336 296448 395264 444672 592896 790528 889344 1185792 1581056 1778688 2371584 3162112 3557376 4743168 7114752 9486336 14229504 28459008