428326752 has 192 divisors, whose sum is σ = 1374105600. Its totient is φ = 114186240.

The previous prime is 428326687. The next prime is 428326753. The reversal of 428326752 is 257623824.

It is a self number, because there is not a number n which added to its sum of digits gives 428326752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428326753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603774 + ... + 604482.

It is an arithmetic number, because the mean of its divisors is an integer number (7156800).

Almost surely, 2^428326752 is an apocalyptic number.

428326752 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 428326752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687052800).

428326752 is an abundant number, since it is smaller than the sum of its proper divisors (945778848).

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

428326752 is a wasteful number, since it uses less digits than its factorization.

428326752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 428326752 is about 20696.0564359493. The cubic root of 428326752 is about 753.8039346020.

The spelling of 428326752 in words is "four hundred twenty-eight million, three hundred twenty-six thousand, seven hundred fifty-two".