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428932460 = 225114634211
BaseRepresentation
bin11001100100001…
…111110101101100
31002220010000201102
4121210033311230
51334301314320
6110321302232
713425602645
oct3144176554
91086100642
10428932460
11200137340
12bb794978
136ab316b8
1440d766cc
15279cb175
hex1990fd6c

428932460 has 48 divisors (see below), whose sum is σ = 985001472. Its totient is φ = 155601600.

The previous prime is 428932433. The next prime is 428932477. The reversal of 428932460 is 64239824.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99755 + ... + 103965.

It is an arithmetic number, because the mean of its divisors is an integer number (20520864).

Almost surely, 2428932460 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 428932460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492500736).

428932460 is an abundant number, since it is smaller than the sum of its proper divisors (556069012).

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

428932460 is a wasteful number, since it uses less digits than its factorization.

428932460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 428932460 is about 20710.6846820669. The cubic root of 428932460 is about 754.1590918252.

The spelling of 428932460 in words is "four hundred twenty-eight million, nine hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 463 926 1852 2315 4211 4630 5093 8422 9260 10186 16844 20372 21055 25465 42110 46321 50930 84220 92642 101860 185284 231605 463210 926420 1949693 3899386 7798772 9748465 19496930 21446623 38993860 42893246 85786492 107233115 214466230 428932460