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428590116 = 22344330763
BaseRepresentation
bin11001100010111…
…100010000100100
31002212110122010000
4121202330100210
51334204340431
6110310101300
713422645603
oct3142742044
91085418100
10428590116
111aaa23109
12bb64a830
136aa41926
1440cc7a3a
152795e9e6
hex198bc424

428590116 has 60 divisors (see below), whose sum is σ = 1146512752. Its totient is φ = 139536432.

The previous prime is 428590109. The next prime is 428590121. The reversal of 428590116 is 611095824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1450 + ... + 29313.

Almost surely, 2428590116 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 428590116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573256376).

428590116 is an abundant number, since it is smaller than the sum of its proper divisors (717922636).

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

428590116 is a wasteful number, since it uses less digits than its factorization.

428590116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30822 (or 30811 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 428590116 is about 20702.4181196304. The cubic root of 428590116 is about 753.9583993446.

The spelling of 428590116 in words is "four hundred twenty-eight million, five hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 4644 6966 13932 30763 61526 92289 123052 184578 276867 369156 553734 830601 1107468 1322809 1661202 2491803 2645618 3322404 3968427 4983606 5291236 7936854 9967212 11905281 15873708 23810562 35715843 47621124 71431686 107147529 142863372 214295058 428590116