428968540 has 144 divisors (see below), whose sum is σ = 1231511904. Its totient is φ = 123379200.

The previous prime is 428968523. The next prime is 428968543. The reversal of 428968540 is 45869824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428968543) 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 47 ways as a sum of consecutive naturals, for example, 138610 + ... + 141670.

It is an arithmetic number, because the mean of its divisors is an integer number (8552166).

Almost surely, 2^428968540 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 428968540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615755952).

428968540 is an abundant number, since it is smaller than the sum of its proper divisors (802543364).

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

428968540 is a wasteful number, since it uses less digits than its factorization.

428968540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 428968540 is about 20711.5557117277. Note that the first 3 decimals coincide. The cubic root of 428968540 is about 754.1802367992.

The spelling of 428968540 in words is "four hundred twenty-eight million, nine hundred sixty-eight thousand, five hundred forty".