428988672 has 216 divisors, whose sum is σ = 1438289216. Its totient is φ = 120434688.

The previous prime is 428988671. The next prime is 428988673. The reversal of 428988672 is 276889824.

It is an interprime number because it is at equal distance from previous prime (428988671) and next prime (428988673).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (428988671) 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 23 ways as a sum of consecutive naturals, for example, 1080378 + ... + 1080774.

Almost surely, 2^428988672 is an apocalyptic number.

428988672 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 428988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719144608).

428988672 is an abundant number, since it is smaller than the sum of its proper divisors (1009300544).

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

428988672 is a wasteful number, since it uses less digits than its factorization.

428988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 476 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 428988672 is about 20712.0417149058. The cubic root of 428988672 is about 754.1920348042.

The spelling of 428988672 in words is "four hundred twenty-eight million, nine hundred eighty-eight thousand, six hundred seventy-two".