424585728 has 120 divisors (see below), whose sum is σ = 1400544288. Its totient is φ = 121300992.

The previous prime is 424585717. The next prime is 424585729. The reversal of 424585728 is 827585424.

424585728 is a `hidden beast` number, since 4 + 24 + 58 + 572 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (424585729) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25675 + ... + 38837.

Almost surely, 2^424585728 is an apocalyptic number.

424585728 is a gapful number since it is divisible by the number (48) 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 424585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700272144).

424585728 is an abundant number, since it is smaller than the sum of its proper divisors (975958560).

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

424585728 is a wasteful number, since it uses less digits than its factorization.

424585728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13194 (or 13175 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 424585728 is about 20605.4781065619. The cubic root of 424585728 is about 751.6029290507.

The spelling of 424585728 in words is "four hundred twenty-four million, five hundred eighty-five thousand, seven hundred twenty-eight".