428938752 has 160 divisors (see below), whose sum is σ = 1272775680. Its totient is φ = 127262720.

The previous prime is 428938751. The next prime is 428938759. The reversal of 428938752 is 257839824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428938751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895249 + ... + 895727.

It is an arithmetic number, because the mean of its divisors is an integer number (7954848).

Almost surely, 2^428938752 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 428938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636387840).

428938752 is an abundant number, since it is smaller than the sum of its proper divisors (843836928).

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

428938752 is a wasteful number, since it uses less digits than its factorization.

428938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 548 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 428938752 is about 20710.8365837790. The cubic root of 428938752 is about 754.1627793877.

The spelling of 428938752 in words is "four hundred twenty-eight million, nine hundred thirty-eight thousand, seven hundred fifty-two".