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644896728 = 2336715797
BaseRepresentation
bin100110011100000…
…101011111011000
31122221111011000000
4212130011133120
52310043143403
6143554213000
721660350250
oct4634053730
91587434000
10644896728
11301033503
1215bb84160
13a37b81c8
1461912960
153b93a7a3
hex267057d8

644896728 has 112 divisors (see below), whose sum is σ = 2072065680. Its totient is φ = 184244544.

The previous prime is 644896723. The next prime is 644896783. The reversal of 644896728 is 827698446.

644896728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644896723) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 32926 + ... + 48722.

Almost surely, 2644896728 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 644896728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036032840).

644896728 is an abundant number, since it is smaller than the sum of its proper divisors (1427168952).

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

644896728 is a wasteful number, since it uses less digits than its factorization.

644896728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828 (or 15809 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 644896728 is about 25394.8169514962. The cubic root of 644896728 is about 863.9661445067.

It can be divided in two parts, 64489 and 6728, that added together give a palindrome (71217).

The spelling of 644896728 in words is "six hundred forty-four million, eight hundred ninety-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2916 3402 4536 5103 5832 6804 10206 13608 15797 20412 31594 40824 47391 63188 94782 110579 126376 142173 189564 221158 284346 331737 379128 426519 442316 568692 663474 853038 884632 995211 1137384 1279557 1326948 1706076 1990422 2559114 2653896 2985633 3412152 3838671 3980844 5118228 5971266 7677342 7961688 8956899 10236456 11516013 11942532 15354684 17913798 23032026 23885064 26870697 30709368 35827596 46064052 53741394 71655192 80612091 92128104 107482788 161224182 214965576 322448364 644896728