428007733 has 8 divisors (see below), whose sum is σ = 438724440. Its totient is φ = 417304320.

The previous prime is 428007721. The next prime is 428007739. The reversal of 428007733 is 337700824.

It can be written as a sum of positive squares in 4 ways, for example, as 68260644 + 359747089 = 8262^2 + 18967^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428007733 - 2¹⁷ = 427876661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428007739) 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 7 ways as a sum of consecutive naturals, for example, 105303 + ... + 109291.

It is an arithmetic number, because the mean of its divisors is an integer number (54840555).

Almost surely, 2^428007733 is an apocalyptic number.

It is an amenable number.

428007733 is a deficient number, since it is larger than the sum of its proper divisors (10716707).

428007733 is a wasteful number, since it uses less digits than its factorization.

428007733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647.

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 428007733 is about 20688.3477590648. The cubic root of 428007733 is about 753.6167430060.

The spelling of 428007733 in words is "four hundred twenty-eight million, seven thousand, seven hundred thirty-three".