428009496 has 72 divisors (see below), whose sum is σ = 1107509940. Its totient is φ = 137838720.

The previous prime is 428009471. The next prime is 428009497. The reversal of 428009496 is 694900824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428009497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4155381 + ... + 4155483.

Almost surely, 2^428009496 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 428009496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553754970).

428009496 is an abundant number, since it is smaller than the sum of its proper divisors (679500444).

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

428009496 is a wasteful number, since it uses less digits than its factorization.

428009496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 428009496 is about 20688.3903675467. The cubic root of 428009496 is about 753.6177777415.

Multiplying 428009496 by its product of nonzero digits (124416), we get a square (53251229454336 = 7297344²).

The spelling of 428009496 in words is "four hundred twenty-eight million, nine thousand, four hundred ninety-six".