428880408 has 64 divisors (see below), whose sum is σ = 1177632000. Its totient is φ = 129079680.

The previous prime is 428880373. The next prime is 428880421. The reversal of 428880408 is 804088824.

It is a self number, because there is not a number n which added to its sum of digits gives 428880408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33885 + ... + 44787.

It is an arithmetic number, because the mean of its divisors is an integer number (18400500).

Almost surely, 2^428880408 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 428880408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588816000).

428880408 is an abundant number, since it is smaller than the sum of its proper divisors (748751592).

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

428880408 is a wasteful number, since it uses less digits than its factorization.

428880408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11072 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 428880408 is about 20709.4279978951. The cubic root of 428880408 is about 754.1285842428.

The spelling of 428880408 in words is "four hundred twenty-eight million, eight hundred eighty thousand, four hundred eight".