428376960 has 192 divisors, whose sum is σ = 1613954160. Its totient is φ = 103833600.

The previous prime is 428376959. The next prime is 428376967. The reversal of 428376960 is 69673824.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428376967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59980 + ... + 66740.

Almost surely, 2^428376960 is an apocalyptic number.

428376960 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 428376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806977080).

428376960 is an abundant number, since it is smaller than the sum of its proper divisors (1185577200).

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

428376960 is a wasteful number, since it uses less digits than its factorization.

428376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 428376960 is about 20697.2693851145. The cubic root of 428376960 is about 753.8333868127.

The spelling of 428376960 in words is "four hundred twenty-eight million, three hundred seventy-six thousand, nine hundred sixty".