428777180 has 192 divisors, whose sum is σ = 1096502400. Its totient is φ = 139345920.

The previous prime is 428777147. The next prime is 428777189. The reversal of 428777180 is 81777824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428777189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5873624 + ... + 5873696.

It is an arithmetic number, because the mean of its divisors is an integer number (5710950).

Almost surely, 2^428777180 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 428777180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548251200).

428777180 is an abundant number, since it is smaller than the sum of its proper divisors (667725220).

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

428777180 is a wasteful number, since it uses less digits than its factorization.

428777180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 44.

The square root of 428777180 is about 20706.9355530943. The cubic root of 428777180 is about 754.0680751976.

The spelling of 428777180 in words is "four hundred twenty-eight million, seven hundred seventy-seven thousand, one hundred eighty".