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43628728 = 23112133467
BaseRepresentation
bin1010011001101…
…1100010111000
310001002120100211
42212123202320
542132104403
64155040504
71036560313
oct246334270
9101076324
1043628728
1122699a00
1212740134
139067420
145b1997a
153c6c06d
hex299b8b8

43628728 has 48 divisors (see below), whose sum is σ = 96861240. Its totient is φ = 18300480.

The previous prime is 43628713. The next prime is 43628729. The reversal of 43628728 is 82782634.

43628728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43628729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10851 + ... + 14317.

Almost surely, 243628728 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 43628728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48430620).

43628728 is an abundant number, since it is smaller than the sum of its proper divisors (53232512).

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

43628728 is a wasteful number, since it uses less digits than its factorization.

43628728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 3493 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 43628728 is about 6605.2046145445. The cubic root of 43628728 is about 352.0390581659.

The spelling of 43628728 in words is "forty-three million, six hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 3146 3467 6292 6934 12584 13868 27736 38137 45071 76274 90142 152548 180284 305096 360568 419507 495781 839014 991562 1678028 1983124 3356056 3966248 5453591 10907182 21814364 43628728