428044776 has 96 divisors (see below), whose sum is σ = 1126300320. Its totient is φ = 135527040.

The previous prime is 428044753. The next prime is 428044781. The reversal of 428044776 is 677440824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545150 + ... + 1545426.

It is an arithmetic number, because the mean of its divisors is an integer number (11732295).

Almost surely, 2^428044776 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 428044776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563150160).

428044776 is an abundant number, since it is smaller than the sum of its proper divisors (698255544).

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

428044776 is a wasteful number, since it uses less digits than its factorization.

428044776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 428044776 is about 20689.2430021014. The cubic root of 428044776 is about 753.6384835942.

The spelling of 428044776 in words is "four hundred twenty-eight million, forty-four thousand, seven hundred seventy-six".