428619923424 has 576 divisors, whose sum is σ = 1641952166400. Its totient is φ = 104776519680.

The previous prime is 428619923423. The next prime is 428619923443. The reversal of 428619923424 is 424329916824.

428619923424 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 199 + 23 + 424 = 666.

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 (428619923423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18461007 + ... + 18484209.

It is an arithmetic number, because the mean of its divisors is an integer number (2850611400).

Almost surely, 2^428619923424 is an apocalyptic number.

428619923424 is a gapful number since it is divisible by the number (44) 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 428619923424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820976083200).

428619923424 is an abundant number, since it is smaller than the sum of its proper divisors (1213332242976).

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

428619923424 is a wasteful number, since it uses less digits than its factorization.

428619923424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23268 (or 23243 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 428619923424 in words is "four hundred twenty-eight billion, six hundred nineteen million, nine hundred twenty-three thousand, four hundred twenty-four".