428946012 has 72 divisors (see below), whose sum is σ = 1185125760. Its totient is φ = 129733920.

The previous prime is 428945983. The next prime is 428946031. The reversal of 428946012 is 210649824.

428946012 is a `hidden beast` number, since 42 + 8 + 9 + 4 + 601 + 2 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 402993 + ... + 404055.

It is an arithmetic number, because the mean of its divisors is an integer number (16460080).

Almost surely, 2^428946012 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 428946012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592562880).

428946012 is an abundant number, since it is smaller than the sum of its proper divisors (756179748).

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

428946012 is a wasteful number, since it uses less digits than its factorization.

428946012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 428946012 is about 20711.0118536010. The cubic root of 428946012 is about 754.1670342228.

The spelling of 428946012 in words is "four hundred twenty-eight million, nine hundred forty-six thousand, twelve".