428080576 has 168 divisors, whose sum is σ = 1094536800. Its totient is φ = 162539520.

The previous prime is 428080573. The next prime is 428080579. The reversal of 428080576 is 675080824.

It is an interprime number because it is at equal distance from previous prime (428080573) and next prime (428080579).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428080573) 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, 2872950 + ... + 2873098.

It is an arithmetic number, because the mean of its divisors is an integer number (6515100).

Almost surely, 2^428080576 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 428080576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547268400).

428080576 is an abundant number, since it is smaller than the sum of its proper divisors (666456224).

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

428080576 is a wasteful number, since it uses less digits than its factorization.

428080576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 428080576 is about 20690.1081679144. The cubic root of 428080576 is about 753.6594934722.

The spelling of 428080576 in words is "four hundred twenty-eight million, eighty thousand, five hundred seventy-six".