428085141 has 24 divisors (see below), whose sum is σ = 638309472. Its totient is φ = 253084800.

The previous prime is 428085139. The next prime is 428085191. The reversal of 428085141 is 141580824.

It is not a de Polignac number, because 428085141 - 2¹ = 428085139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428085101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51615 + ... + 59331.

It is an arithmetic number, because the mean of its divisors is an integer number (26596228).

Almost surely, 2^428085141 is an apocalyptic number.

428085141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

428085141 is a deficient number, since it is larger than the sum of its proper divisors (210224331).

428085141 is a wasteful number, since it uses less digits than its factorization.

428085141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 428085141 is about 20690.2184860383. The cubic root of 428085141 is about 753.6621724409.

The spelling of 428085141 in words is "four hundred twenty-eight million, eighty-five thousand, one hundred forty-one".