428280624 has 120 divisors (see below), whose sum is σ = 1271184512. Its totient is φ = 134369280.

The previous prime is 428280623. The next prime is 428280649. The reversal of 428280624 is 426082824.

It is a happy number.

428280624 is a `hidden beast` number, since 4 + 2 + 8 + 28 + 0 + 624 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (428280623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163872 + ... + 166464.

Almost surely, 2^428280624 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 428280624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635592256).

428280624 is an abundant number, since it is smaller than the sum of its proper divisors (842903888).

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

428280624 is a wasteful number, since it uses less digits than its factorization.

428280624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 428280624 is about 20694.9419907377. The cubic root of 428280624 is about 753.7768737067.

The spelling of 428280624 in words is "four hundred twenty-eight million, two hundred eighty thousand, six hundred twenty-four".