428002505 has 12 divisors (see below), whose sum is σ = 597456900. Its totient is φ = 293487264.

The previous prime is 428002483. The next prime is 428002517. The reversal of 428002505 is 505200824.

It can be written as a sum of positive squares in 2 ways, for example, as 114854089 + 313148416 = 10717^2 + 17696^2 .

It is not a de Polignac number, because 428002505 - 2¹⁴ = 427986121 is a prime.

It is a super-2 number, since 2×428002505² = 366372288572550050, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 873230 + ... + 873719.

It is an arithmetic number, because the mean of its divisors is an integer number (49788075).

Almost surely, 2^428002505 is an apocalyptic number.

It is an amenable number.

428002505 is a deficient number, since it is larger than the sum of its proper divisors (169454395).

428002505 is a wasteful number, since it uses less digits than its factorization.

428002505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746968 (or 1746961 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 428002505 is about 20688.2214073612. The cubic root of 428002505 is about 753.6136745845.

The spelling of 428002505 in words is "four hundred twenty-eight million, two thousand, five hundred five".