428019705 has 48 divisors (see below), whose sum is σ = 767095056. Its totient is φ = 220631040.

The previous prime is 428019703. The next prime is 428019743. The reversal of 428019705 is 507910824.

It can be written as a sum of positive squares in 8 ways, for example, as 165482496 + 262537209 = 12864^2 + 16203^2 .

It is not a de Polignac number, because 428019705 - 2¹ = 428019703 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 428019705.

It is not an unprimeable number, because it can be changed into a prime (428019703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207459 + ... + 209511.

It is an arithmetic number, because the mean of its divisors is an integer number (15981147).

Almost surely, 2^428019705 is an apocalyptic number.

428019705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428019705 is a deficient number, since it is larger than the sum of its proper divisors (339075351).

428019705 is a wasteful number, since it uses less digits than its factorization.

428019705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 428019705 is about 20688.6370986588. The cubic root of 428019705 is about 753.6237695266.

The spelling of 428019705 in words is "four hundred twenty-eight million, nineteen thousand, seven hundred five".