428927408 has 240 divisors, whose sum is σ = 1150212096. Its totient is φ = 150958080.

The previous prime is 428927399. The next prime is 428927431. The reversal of 428927408 is 804729824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9975035 + ... + 9975077.

Almost surely, 2^428927408 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 428927408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575106048).

428927408 is an abundant number, since it is smaller than the sum of its proper divisors (721284688).

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

428927408 is a wasteful number, since it uses less digits than its factorization.

428927408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 428927408 is about 20710.5627156772. The cubic root of 428927408 is about 754.1561309654.

The spelling of 428927408 in words is "four hundred twenty-eight million, nine hundred twenty-seven thousand, four hundred eight".