428803920 has 240 divisors, whose sum is σ = 1555895952. Its totient is φ = 105431040.

The previous prime is 428803919. The next prime is 428803931. The reversal of 428803920 is 29308824.

It can be written as a sum of positive squares in 8 ways, for example, as 49956624 + 378847296 = 7068^2 + 19464^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648390 + ... + 649050.

Almost surely, 2^428803920 is an apocalyptic number.

428803920 is a gapful number since it is divisible by the number (40) 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 428803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777947976).

428803920 is an abundant number, since it is smaller than the sum of its proper divisors (1127092032).

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

428803920 is a wasteful number, since it uses less digits than its factorization.

428803920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 428803920 is about 20707.5812204130. The cubic root of 428803920 is about 754.0837502864.

The spelling of 428803920 in words is "four hundred twenty-eight million, eight hundred three thousand, nine hundred twenty".