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428588576 = 25139291109
BaseRepresentation
bin11001100010111…
…011111000100000
31002212110112222222
4121202323320200
51334204313301
6110310050212
713422641243
oct3142737040
91085415888
10428588576
111aaa21a39
12bb649968
136aa41010
1440cc725a
152795e31b
hex198bbe20

428588576 has 48 divisors (see below), whose sum is σ = 910488600. Its totient is φ = 197419008.

The previous prime is 428588557. The next prime is 428588579. The reversal of 428588576 is 675885824.

It can be written as a sum of positive squares in 4 ways, for example, as 45212176 + 383376400 = 6724^2 + 19580^2 .

It is not an unprimeable number, because it can be changed into a prime (428588579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385910 + ... + 387018.

Almost surely, 2428588576 is an apocalyptic number.

It is an amenable number.

428588576 is an abundant number, since it is smaller than the sum of its proper divisors (481900024).

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

428588576 is a wasteful number, since it uses less digits than its factorization.

428588576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2053 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 53.

The square root of 428588576 is about 20702.3809258742. The cubic root of 428588576 is about 753.9574963083.

The spelling of 428588576 in words is "four hundred twenty-eight million, five hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 929 1109 1858 2218 3716 4436 7432 8872 12077 14417 14864 17744 24154 28834 29728 35488 48308 57668 96616 115336 193232 230672 386464 461344 1030261 2060522 4121044 8242088 13393393 16484176 26786786 32968352 53573572 107147144 214294288 428588576