428280160 has 96 divisors (see below), whose sum is σ = 1261516032. Its totient is φ = 133486080.

The previous prime is 428280119. The next prime is 428280161. The reversal of 428280160 is 61082824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428280161) 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 15 ways as a sum of consecutive naturals, for example, 5062 + ... + 29701.

It is an arithmetic number, because the mean of its divisors is an integer number (13140792).

Almost surely, 2^428280160 is an apocalyptic number.

428280160 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 428280160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630758016).

428280160 is an abundant number, since it is smaller than the sum of its proper divisors (833235872).

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

428280160 is a wasteful number, since it uses less digits than its factorization.

428280160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34796 (or 34788 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 428280160 is about 20694.9307802660. The cubic root of 428280160 is about 753.7766014922.

The spelling of 428280160 in words is "four hundred twenty-eight million, two hundred eighty thousand, one hundred sixty".