428164506 has 192 divisors, whose sum is σ = 1240012800. Its totient is φ = 103420800.

The previous prime is 428164489. The next prime is 428164537. The reversal of 428164506 is 605461824.

428164506 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 645 + 0 + 6 = 666.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 1869600 + ... + 1869828.

It is an arithmetic number, because the mean of its divisors is an integer number (6458400).

Almost surely, 2^428164506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428164506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620006400).

428164506 is an abundant number, since it is smaller than the sum of its proper divisors (811848294).

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

428164506 is a wasteful number, since it uses less digits than its factorization.

428164506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428164506 is about 20692.1363324331. The cubic root of 428164506 is about 753.7087447202.

The spelling of 428164506 in words is "four hundred twenty-eight million, one hundred sixty-four thousand, five hundred six".