428671008 has 96 divisors (see below), whose sum is σ = 1316145600. Its totient is φ = 135364608.

The previous prime is 428671003. The next prime is 428671039. The reversal of 428671008 is 800176824.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (428671003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3360 + ... + 29472.

It is an arithmetic number, because the mean of its divisors is an integer number (13709850).

Almost surely, 2^428671008 is an apocalyptic number.

428671008 is a gapful number since it is divisible by the number (48) 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 428671008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658072800).

428671008 is an abundant number, since it is smaller than the sum of its proper divisors (887474592).

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

428671008 is a wasteful number, since it uses less digits than its factorization.

428671008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26151 (or 26137 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 428671008 is about 20704.3717122737. The cubic root of 428671008 is about 754.0058303391.

The spelling of 428671008 in words is "four hundred twenty-eight million, six hundred seventy-one thousand, eight".