428176008 has 192 divisors, whose sum is σ = 1344470400. Its totient is φ = 121927680.

The previous prime is 428176003. The next prime is 428176009. The reversal of 428176008 is 800671824.

428176008 is a `hidden beast` number, since 42 + 8 + 1 + 7 + 600 + 8 = 666.

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 (428176003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129563 + ... + 1129941.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2^428176008 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 428176008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672235200).

428176008 is an abundant number, since it is smaller than the sum of its proper divisors (916294392).

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

428176008 is a wasteful number, since it uses less digits than its factorization.

428176008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 485 counting only the distinct ones).

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

The square root of 428176008 is about 20692.4142622363. The cubic root of 428176008 is about 753.7154937464.

The spelling of 428176008 in words is "four hundred twenty-eight million, one hundred seventy-six thousand, eight".