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428560992 = 253212711717
BaseRepresentation
bin11001100010110…
…101001001100000
31002212102011011100
4121202311021200
51334202422432
6110305314400
713422464646
oct3142651140
91085364140
10428560992
111aaa03242
12bb635a00
136aa315b2
1440cbb196
152795607c
hex198b5260

428560992 has 72 divisors (see below), whose sum is σ = 1228421376. Its totient is φ = 141716736.

The previous prime is 428560991. The next prime is 428560997. The reversal of 428560992 is 299065824.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428560991) 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, 30718 + ... + 42434.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2428560992 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 428560992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614210688).

428560992 is an abundant number, since it is smaller than the sum of its proper divisors (799860384).

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

428560992 is a wasteful number, since it uses less digits than its factorization.

428560992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11860 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 428560992 is about 20701.7147115885. The cubic root of 428560992 is about 753.9413210368.

The spelling of 428560992 in words is "four hundred twenty-eight million, five hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 9144 11717 12192 18288 23434 35151 36576 46868 70302 93736 105453 140604 187472 210906 281208 374944 421812 562416 843624 1124832 1488059 1687248 2976118 3374496 4464177 5952236 8928354 11904472 13392531 17856708 23808944 26785062 35713416 47617888 53570124 71426832 107140248 142853664 214280496 428560992