428763456 has 280 divisors, whose sum is σ = 1419173184. Its totient is φ = 126904320.

The previous prime is 428763421. The next prime is 428763457. The reversal of 428763456 is 654367824.

428763456 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 634 + 5 + 6 = 666.

Its product of digits (967680) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428763457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4162701 + ... + 4162803.

Almost surely, 2^428763456 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 428763456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709586592).

428763456 is an abundant number, since it is smaller than the sum of its proper divisors (990409728).

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

428763456 is a wasteful number, since it uses less digits than its factorization.

428763456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 428763456 is about 20706.6041638894. The cubic root of 428763456 is about 754.0600298839.

The spelling of 428763456 in words is "four hundred twenty-eight million, seven hundred sixty-three thousand, four hundred fifty-six".