428762712 has 96 divisors (see below), whose sum is σ = 1301483520. Its totient is φ = 115284480.

The previous prime is 428762701. The next prime is 428762713. The reversal of 428762712 is 217267824.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428762713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44137 + ... + 52967.

It is an arithmetic number, because the mean of its divisors is an integer number (13557120).

Almost surely, 2^428762712 is an apocalyptic number.

428762712 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 428762712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650741760).

428762712 is an abundant number, since it is smaller than the sum of its proper divisors (872720808).

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

428762712 is a wasteful number, since it uses less digits than its factorization.

428762712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881 (or 8860 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 428762712 is about 20706.5861985987. The cubic root of 428762712 is about 754.0595937297.

The spelling of 428762712 in words is "four hundred twenty-eight million, seven hundred sixty-two thousand, seven hundred twelve".