428945760 has 192 divisors, whose sum is σ = 1550223360. Its totient is φ = 110661120.

The previous prime is 428945701. The next prime is 428945789. The reversal of 428945760 is 67549824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 132319 + ... + 135521.

It is an arithmetic number, because the mean of its divisors is an integer number (8074080).

Almost surely, 2^428945760 is an apocalyptic number.

428945760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775111680).

428945760 is an abundant number, since it is smaller than the sum of its proper divisors (1121277600).

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

428945760 is a wasteful number, since it uses less digits than its factorization.

428945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 428945760 is about 20711.0057698799. The cubic root of 428945760 is about 754.1668865351.

The spelling of 428945760 in words is "four hundred twenty-eight million, nine hundred forty-five thousand, seven hundred sixty".