428950080 has 560 divisors, whose sum is σ = 1755526080. Its totient is φ = 98537472.

The previous prime is 428950063. The next prime is 428950091. The reversal of 428950080 is 80059824.

It is a super-2 number, since 2×428950080² = 367996342264012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6402207 + ... + 6402273.

It is an arithmetic number, because the mean of its divisors is an integer number (3134868).

Almost surely, 2^428950080 is an apocalyptic number.

428950080 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 428950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877763040).

428950080 is an abundant number, since it is smaller than the sum of its proper divisors (1326576000).

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

428950080 is a wasteful number, since it uses less digits than its factorization.

428950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 428950080 is about 20711.1100619933. The cubic root of 428950080 is about 754.1694183160.

The spelling of 428950080 in words is "four hundred twenty-eight million, nine hundred fifty thousand, eighty".