428960070 has 256 divisors, whose sum is σ = 1459814400. Its totient is φ = 87039360.

The previous prime is 428960069. The next prime is 428960087. The reversal of 428960070 is 70069824.

428960070 is a `hidden beast` number, since 42 + 8 + 9 + 600 + 7 + 0 = 666.

It is a congruent 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 127 ways as a sum of consecutive naturals, for example, 976911 + ... + 977349.

It is an arithmetic number, because the mean of its divisors is an integer number (5702400).

Almost surely, 2^428960070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428960070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729907200).

428960070 is an abundant number, since it is smaller than the sum of its proper divisors (1030854330).

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

428960070 is a wasteful number, since it uses less digits than its factorization.

428960070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 428960070 is about 20711.3512354940. The cubic root of 428960070 is about 754.1752729941.

The spelling of 428960070 in words is "four hundred twenty-eight million, nine hundred sixty thousand, seventy".