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428189568 = 2734127197
BaseRepresentation
bin11001100001011…
…010011110000000
31002211201021122220
4121201122132000
51334104031233
6110253331040
713416360042
oct3141323600
91084637586
10428189568
111aa77a184
12bb496a80
136a931511
1440c21a92
15278d0eb3
hex1985a780

428189568 has 64 divisors (see below), whose sum is σ = 1165162320. Its totient is φ = 139243520.

The previous prime is 428189539. The next prime is 428189621. The reversal of 428189568 is 865981824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4281895682 = 366692612288053248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 428189568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2146 + ... + 29342.

Almost surely, 2428189568 is an apocalyptic number.

428189568 is a gapful number since it is divisible by the number (48) 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 428189568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582581160).

428189568 is an abundant number, since it is smaller than the sum of its proper divisors (736972752).

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

428189568 is a wasteful number, since it uses less digits than its factorization.

428189568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27255 (or 27243 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 428189568 is about 20692.7419159472. The cubic root of 428189568 is about 753.7234501895.

The spelling of 428189568 in words is "four hundred twenty-eight million, one hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 27197 54394 81591 108788 163182 217576 326364 435152 652728 870304 1115077 1305456 1740608 2230154 2610912 3345231 3481216 4460308 5221824 6690462 8920616 10443648 13380924 17841232 26761848 35682464 53523696 71364928 107047392 142729856 214094784 428189568