428741712 has 120 divisors (see below), whose sum is σ = 1430991744. Its totient is φ = 117165312.

The previous prime is 428741701. The next prime is 428741791. The reversal of 428741712 is 217147824.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13938 + ... + 32430.

Almost surely, 2^428741712 is an apocalyptic number.

428741712 is a gapful number since it is divisible by the number (42) 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 428741712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715495872).

428741712 is an abundant number, since it is smaller than the sum of its proper divisors (1002250032).

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

428741712 is a wasteful number, since it uses less digits than its factorization.

428741712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18537 (or 18528 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 428741712 is about 20706.0791073540. The cubic root of 428741712 is about 754.0472827167.

The spelling of 428741712 in words is "four hundred twenty-eight million, seven hundred forty-one thousand, seven hundred twelve".