428987424 has 96 divisors (see below), whose sum is σ = 1187536896. Its totient is φ = 135394560.

The previous prime is 428987423. The next prime is 428987431. The reversal of 428987424 is 424789824.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (428987423) 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 15 ways as a sum of consecutive naturals, for example, 138339 + ... + 141405.

It is an arithmetic number, because the mean of its divisors is an integer number (12370176).

Almost surely, 2^428987424 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 428987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593768448).

428987424 is an abundant number, since it is smaller than the sum of its proper divisors (758549472).

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

428987424 is a wasteful number, since it uses less digits than its factorization.

428987424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3150 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 428987424 is about 20712.0115874823. The cubic root of 428987424 is about 754.1913034465.

The spelling of 428987424 in words is "four hundred twenty-eight million, nine hundred eighty-seven thousand, four hundred twenty-four".