428082624 has 112 divisors (see below), whose sum is σ = 1313322240. Its totient is φ = 136477440.

The previous prime is 428082581. The next prime is 428082679. The reversal of 428082624 is 426280824.

It is a happy number.

428082624 is a `hidden beast` number, since 4 + 28 + 0 + 8 + 2 + 624 = 666.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34359 + ... + 45129.

Almost surely, 2^428082624 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 428082624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656661120).

428082624 is an abundant number, since it is smaller than the sum of its proper divisors (885239616).

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

428082624 is a wasteful number, since it uses less digits than its factorization.

428082624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10815 (or 10799 counting only the distinct ones).

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

The square root of 428082624 is about 20690.1576601050. The cubic root of 428082624 is about 753.6606953427.

The spelling of 428082624 in words is "four hundred twenty-eight million, eighty-two thousand, six hundred twenty-four".