428634752 has 128 divisors (see below), whose sum is σ = 1073856000. Its totient is φ = 169344000.

The previous prime is 428634749. The next prime is 428634781. The reversal of 428634752 is 257436824.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 570377 + ... + 571127.

It is an arithmetic number, because the mean of its divisors is an integer number (8389500).

Almost surely, 2^428634752 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 428634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536928000).

428634752 is an abundant number, since it is smaller than the sum of its proper divisors (645221248).

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

428634752 is an equidigital number, since it uses as much as digits as its factorization.

428634752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 773 counting only the distinct ones).

The product of its digits is 322560, while the sum is 41.

The square root of 428634752 is about 20703.4961298811. The cubic root of 428634752 is about 753.9845723847.

The spelling of 428634752 in words is "four hundred twenty-eight million, six hundred thirty-four thousand, seven hundred fifty-two".