428709060 has 216 divisors, whose sum is σ = 1492774920. Its totient is φ = 99201024.

The previous prime is 428709053. The next prime is 428709091. The reversal of 428709060 is 60907824.

It can be written as a sum of positive squares in 12 ways, for example, as 164711556 + 263997504 = 12834^2 + 16248^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 516726 + ... + 517554.

It is an arithmetic number, because the mean of its divisors is an integer number (6910995).

Almost surely, 2^428709060 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 428709060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746387460).

428709060 is an abundant number, since it is smaller than the sum of its proper divisors (1064065860).

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

428709060 is a wasteful number, since it uses less digits than its factorization.

428709060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 428709060 is about 20705.2906282428. The cubic root of 428709060 is about 754.0281400516.

The spelling of 428709060 in words is "four hundred twenty-eight million, seven hundred nine thousand, sixty".